WEALTH MAXIMIZATION

 

 

 

Concept:

 

 

Wealth maximization is the concept of increasing the value of a business in order to increase the value of the shares held by stockholders. The concept requires a company’s management team to continually search for the highest possible returns on funds invested in the business, while mitigating any associated risk of loss.

 

Wealth maximization simply means maximization of shareholder’s wealth. It is a combination of two words viz. wealth and maximization. A wealth of a shareholder maximizes when the net worth of a company maximizes.

 

Objectives:

 

 

  1. Measurement of Wealth
  2. Market Value of Shares
  3. Common Goal
  4.  D’s Of Financial Decisions
  5. Shareholder’s Expectations

 

 

  1. Measurement of Wealth

 

The main Principle of financial management is the Maximization of Shareholders Wealth. Shareholder’s Wealth is measured on the basis of economic value. Economic value is based on cash flows and not profit. Economic Value is defined as: “The present value of future cash flows generated by a decision, discounted at appropriate rate of discount which reflects the degree of associated risk“.

 

  1. Market Value of Shares

 

The future cash flow is estimated for the present value. The present value is the Market Price of share. As Shareholder’s wealth is equal to the market price of shares held by him, any increase in Market price of shares would result in an increase in Shareholder’s Wealth.

 

  1. Common Goal

The Maximization of Shareholder’s Wealth is the common goal between the Shareholders and the Management. The recognition of this goal motivates the Management to allocate the available resources in an optimum way.

 

 

 

 

 

  1. 3 D’s Of Financial Decisions

The Maximization of Shareholder’s wealth indicates that the Market price of share is related to three basic financial decisions:

The investment decisions,

The financing decision,

The dividend decision.

 

  1. Shareholder’s Expectations

 

Shareholder’s expectations are about future cash flows based on current cash flows and projected future growth. The market price of share shows these expectations.

Tsunamis

 

 

 

A tsunami is a very long-wavelength wave of water that is generated by sudden displacement of the seafloor or disruption of any body of standing water. Tsunami are sometimes called “seismic sea waves“, although they can be generated by mechanisms other than Earthquakes.
Tsunami have also been called “tidal waves”, but this term should not be used because they are not in any way related to the tides of the Earth. Because tsunami occur suddenly, often without warning, they are extremely dangerous to coastal communities.

Tsunamis can be associated with earthquakes. Sometimes a large earthquake beneath the ocean floor will produce a tsunami, which is a series of large waves.

The rate at which a wave loses its energy is inversely related to its wavelength. Since a tsunami has a very large wavelength, it will lose little energy as it propagates. Thus, in very deep water, a tsunami will travel at high speeds with little loss of energy.

As a tsunami leaves the deep water of the open sea and arrives at the shallow waters near the coast, it undergoes a transformation. Since the velocity of the tsunami is also related to the water depth, as the depth of the water decreases, the velocity of the tsunami decreases. The change of total energy of the tsunami, however, remains constant.

Furthermore, the period of the wave remains the same, and thus more water is forced between the wave crests causing the height of the wave to increase. Because of this “shoaling” effect, a tsunami that was imperceptible in deep water may grow to have wave heights of several meters or more.

The main damage from tsunami comes from the destructive nature of the waves themselves. Secondary effects include the debris acting as projectiles which then run into other objects, erosion that can undermine the foundations of structures built along coastlines, and fires that result from disruption of gas and electrical lines. Tertiary effects include loss of crops and water and electrical systems which can lead to famine and disease.

 

 

 

 Horizontal and vertical distribution of temperature, inversion of temperature

 

The temperature is the measurement in degrees of how hot (or cold) a thing (or a place) is.
The temperature of the https://exam.pscnotes.com/atmosphere”>Atmosphere is not same across the Earth. It varies in spatial and temporal dimensions. The temperature of a place depends largely on the insolation received by that place. The interaction of insolation with the atmosphere and the earth’s surface creates heat which is measured in terms of temperature. It is important to know about the temperature distribution over the surface of the earth to understand the weather, Climate, vegetation zones, animal and human life etc. following factors determine the temperature of air at any place.

  1. The latitude of the place – Intensity of insolation depends on the latitude. The amount of insolation depends on the inclination of sun rays, which is further depends upon the latitude of the place. At the equator sun’s rays fall directly overhead throughout the year. Away from the equator towards poles, the inclination of the Sun’s rays increases. In conclusion, if other things remain the same, the temperature of air goes on decreasing from the equator towards poles.
  2. The altitude of the place – the atmosphere is largely heated indirectly by re-radiated terrestrial radiation from the earth’s surface. Therefore, the lower layers of the atmosphere are comparatively warmer than the upper layers, even in the same latitudes. For example, Ambala (30 21’ N) and Shimla (31 6’) are almost at the same latitude. But the Average temperature of shimla is much lower than the Ambala. It is because Ambala is located in plain at an altitude of 272 m above sea level whereas Shimla is located at an altitude of 2202 m above sea level. In other words, the temperature generally decreases with increasing height (figure 6(a)). The rate of decrease of temperature with height is termed as the normal lapse rate. It is 6.5°C per 1,000 m. That’s why, the Mountains, even in the equatorial region, have snow covered peaks, like Mt. Kilimanjaro, Africa.
  3. Distance from the Sea – the land surface is heated at a faster rate than the water N surface. Thus the temperature of the air over land and water surfaces is not the same Student Notes: at a given time. In summers, the sea water is cooler than the land and in winters, land is much colder than the sea water. The coastal areas experience the sea breezes during the daytime and the land breezes during the night time. This has a moderating influence on the temperature of the coastal areas. Against this the places in the interior, far away from the sea, have extreme climate. The daily range of temperature is less near the coastal area and it increases with increase in distance from the sea coast (figure 6(b)). The low daily range of temperature is the characteristic of marine climate. That’s why, the people of Mumbai have hardly any idea of extremes of temperature.

(a) Horizontal Distribution of Temperature
Distribution of temperature across the latitudes over the surface of the earth is called its horizontal distribution. On maps, the horizontal distribution of temperature is commonly shown by “Isotherms”, lines connecting points that have equal temperatures. An isotherm is made of two words ‘iso’ and ‘therm’, ‘Iso’ means equal and ‘therm’ means” temperature. If you study an isotherm map you will find that the distribution of temperature is uneven. The factors responsible for the uneven distribution of temperature are as follows:
(i) Latitude
(ii) Land and Sea Contrast
(iii) Relief and Altitude
(iv) Ocean Currents
(v) Winds
(vi) Vegetation Cover
(vii) Nature of the Soil
(viii) Slope and Aspect

(b) Vertical Distribution of Temperature
The permanent snow on high mountains, even in the tropics, indicate the decrease of temperature with altitute. Observations reveals that there is a fairly regular decrease in temperature with an increase in altitude. The average rate of temperature decrease upward in the Troposphere is about 6 C per km, extending to the Tropopause. This vertical gradient of temperature is commonly referred to as the standard atmosphere or normal lapse rate, but is varies with height, season, latitude and other factors. Indeed the actual lapse rate of temperature does not always show a decrease with altitude.

Temperature Inversion

Temperature decreases with increase in altitude. In normal conditions, as we go up, temperature decreases with normal lapse rate. It is 6.5°C per 1,000 m. Against this normal rule sometimes, instead of decreasing, temperature may rise with the height gained. The cooler air is nearer the earth and the warmer air is aloft. This rise of temperature with height is known as Temperature inversion. Temperature inversion takes place under certain specific conditions. These are discussed below:

  •  Long winter nights – if in winters the sky is clear during long nights, the terrestrial radiation is accelerated. The reason is that the land surface gets cooled fairly quickly. The bottom layer of atmosphere in contact with the ground is also cooled and the upper layer remains relatively warm.
  • Cloudless clear sky – The clouds obstruct the terrestrial radiation. But this radiation does not face any obstacles for being reflected into space when the sky is clear. Therefore the ground is cooled quickly and so is the air in contact with it cooled.
  • Dry air – humid air absorbs the terrestrial radiation but dry air is no obstruction to terrestrial radiation and allows the radiation to escape into space.
  • Calm atmosphere – the blowing of winds bring warm and cold air into contact. Under conditions of calm atmosphere the cold air stays put near the ground.
  • Ice covered surface – in ice covered areas due to high albedo less insolation is received. During night due to terrestrial radiation most of the heat is lost to atmosphere and the surface is cooled. The air in contact with it is also cooled but the upper layer remains warm.

 

Magdhan

 

 

In the sixth country B.C. North India was divided into sixteen kingdoms out of which Avanti, Vatsa, Kosala and Magadha rose into prominence by aggrandizing upon other weaker states.These four states involved themselves in internecine quarrel in which Magadha emerged as the most powerful state and acquired mastery in the political domain of India.

Magadha under Bimbisara:

Magadha rose into prominence under the rule of Bimbisara who belonged to the Haryanka dynasty. Most probably he overthrew the Brihadrathas from Magadha and assumed the title “Srinika” after his accession. He ruled Magadha from 544 B.C. to 493 B.C. His greatest achievement was the establishment of Magadhan empire. He followed fourfold policy in order to fulfill his programme of imperial expansion.

Policy of Matrimonial Alliance:

By adopting the policy of matrimonial alliance, Bimbisara tried to augment his power. He married Kosaladevi, daughter of king Mahakosala of Kosala, received the Kasi village as dowry, which yielded revenue of 1, 00,000. “Mahavamsa” mentions his marriage with Chellana the daughter of Chetak, the Lichchavi chief of Vaisali.

He then married Vasavi, a princess of Videha in the northward. He also got the hand of Khema, the daughter of king of Modra in Central Punjab. The establishment of matrimonial relations with these states added glory to the Magadhna empire and it also paved the way for the expansion of Magadhan empire and westward.

Policy of Conquest:

The next policy of Bimbisara for the expansion of Magadhan empire was the policy of conquest. Bimbisara led a campaign against the kingdom of Anga and defeated its king Brahmadatta. Anga along with its capital city Champa, was annexed to the Magadhan empire.

 

 

Friendly Relation with distant Neighbours:

As a farsighted diplomat, Bimbisara had followed the policy of friendship towards the distant neighbours to win their co-operation for the safety and security of his empire. He received an embassy and letter from Pukkusati, the ruler of Gandhar with which Pradyota had fought unsuccessfully. Magadha’s most formidable enemy was Chanda Pradyota Mahasena of Avanti who fought with Bimbisara but ultimately the two thought it wise to become friends. He also sent his physician Jivak to Ujjain when Pradyota was attacked by jaundice.

Consolidation of his Empire by a Good Administrative System:

By introducing a highly efficient system of administration, Bimbisara consolidated his conquests. His administration was found to have been really well-organised and efficient. The high officers were divided into three classes, viz. executive, military and judicial. The ‘Sabarthakas’ were responsible for the management of general administration.

“Senanayaka Mahamatras” were in charge of military affairs. “Vyavaharika Mahamatra’s” were in charge of judicial-administration. Provincial administration was also well-organised. The head of provincial administration was “Uparaja”. The villages enjoyed rural autonomy. “Gramika” was the head of the village administration. The penal laws were severe. Bimbisara also developed the means of Communication by constructing good roads. He is said to have established a new capital at Rajagriha situated on the outskirts of the old capital Girivraja.

He made Magadha a paramount power in the sixth century B.C. It is said that his kingdom had consisted of 80,000 villages. He was also a devotee of Buddha. He donated a garden named “Belubana” to the Buddhist Sangha. According to the Buddhist chronicle Bimbisara ruled Magadha from 544 B.C. to 493 B.C. He was succeeded by his son Ajatasatru who had killed him and seized the throne for himself.

Ajatasatru

The reign of Ajatasatru witnessed the high watermark of Bimbisara dynasty. From the very beginning Ajatasatru pursued the policy of expansion and conquest. He began a prolonged war with Prasenjit of Kosala who had revoked the gift of the Kasi village made to Bimbisara. The war continued for some time with varying success to both sides till Prasenjit ended it by giving his daughter, Vajira Kumari in marriage to Ajatasatru and leaving him in possession of Kasi.

The next achievement of Ajatasatru was the conquest of Lichchavis of Vaisali. Chetak, chief of Lichchavis had formed a strong confederacy comprising 36 republics in order to fight Magadha. According to jaina sources, before his death, Bimbisara gave his elephant “Seyanaga” “Sechanaka” and two large bejewelled necklaces, one each to his sons Halla and Vehalla who were born of their Lichahhavi mother, Chellana.

Chetak had given them political assylum. After his accession, Ajatasatru requested chetak to surrender them. But Chetak refused to extradite Chetaka’s step brothers. So the conflict between Ajatasatru and Lichchhavis became inevitable.

According to Buddhist text Ajatasatru had entered into an agreement with Lichchhavis to divide among them the gems extracted from a mine at the foot of the hill near the river Ganges. But the Lichchhavis deprived Ajatasatru of his share. But Dr. H.C. Raychoudhury points out that the most potent cause of war was the common movement among the republican states against the rising imperialism of Magadha.

Ajatasatru made elaborate war preparations against the Lichchhavis. As a base for operation he constructed a fort at Patalagrama on the confluence of Ganga and the Son which eventually developed into the famous capital of Pataliputra. Ajatasatru also tried to create a division among members of Lichchhavi confederacy. He employed his minister Vassakara who successfully sowed the seeds of dissension among the members of Vajjian confederacy and broke their solidarity.

Thereafter Ajatasatru invaded their territory and it took him full sixteen years to destroy Lichchhavis. In this war he used some new weapons and devices like “mahasilakantaka” and “rathamushala” to overpower the enemy. Ultimately Lichchhavi was annexed to the Magadhan territory.

Ajatasatru faced danger from Avanti while he was engaged in war with Lichchhavis. King Chanda Pradyota of Avanti became jealous of his power and threatened an invasion of Magadha. To meet this danger Ajatasatru started fortification of Rajgiri. But the invasion did not materialize in his life time.

The successors of Ajatasatru:

Ajatasatru was succeeded by his son Udayin who ruled for sixteen years. The Buddhist texts describe him as a parricide where as the jaina literature mentions him as a devoted son to his father. Udayin built the city of Pataliputra at the fort of Patalagrama which commanded the strategically and commercial highway of eastern India. During his rule Avanti became jealous of the ascendancy of Magadha and a contest between the two started for mastery of Northern India.

However, Udayin was not destined to live to see the ultimate victory of Magadha against Avanti. According to the jaina texts he constructed a chaitya in Pataliputra. He also observed fasts on the eighth and fourteenth tithis as per the jaina tradition. It is said that Udayin have been murdered by assassin engaged by Palaka, the king of Avanti. According to Ceylonese chronicle Udayin was succeeded by three kings namely Aniruddha, Manda and Nagadasaka.

The Ceylonese chronicle describes that all the three kings were parasite. The people resented their rule and revolted against the last king Nagadasaka and raised an amatya Sisunaga on the throne of Magadha. With this restoration the rule of Haryanka dynasty came to end and the rule of Sisunaga dynasty came into being.

Sisunaga served as the viceroy of Kasi before he ascended the throne of Magadha. He established his capital at Girivaraja. His greatest achievement was the conquest and annexation of Avanti. This brought to an end the hundred year’s rivalry between Magadha and Avanti. Probably he had annexed Vatsa and Kosala Kingdoms to Magadha. Towards the later part of his regain he temporarily shifted his capital to Vaisali.

Sisunaga was succeeded by his son Kalasoka or Kakavarna. The reign of Kalasoka is important for two events, viz., the transfer of Magadha capital from Girivaraja to Pataliputra and holding of the second Buddhist Congress at Vaisali. Very unfortunately, he lost his life in a palace revolution, which brought the Nandas upon the throne of Magadha. The usurper was probably Mahapadma Nanda, the founder of Nanda dynasty and he also killed the ten sons of Kalasoka who ruled jointly. Thus the Sisunaga dynasty was followed by the new dynasty of the Nandas.

 

 

Foundation of the Mauryan Empire:

The foundation of the Maurya Empire in 321 B.C. by Chandragupta Maurya was a unique event in HISTORY.

Particularly in view of the fact that it was found shortly after Alexander’s victorious campaigns in North-West India during 327 B.C. – 325 B.C.

There is no unanimity with regard to the ancestry of the Mauryas. The https://exam.pscnotes.com/puranas”>Puranas describe them as Sudras and uprighteous probably due to the fact that the Mauryas were mostly patrons of heterodox sects.

The Buddhist works (e.g. Mahavamsa and Mahavamshatika) have attempted to link the Mauryan dynasty with the tribe of the Sakyas to which the Buddha belonged. In the Divyavadana, Bindusara, the son of Chandragupta, is described as Kshatriya Murdabhishikta or annointed Kshatriya.

According to the Buddhist writers, the region from which the Mauryas came was full of peacocks (Mayura in Sanskrit and Mora in Pali), and hence they came to be known as the Moriyas (Pali form of Mauryas). It is obvious from this that the Buddhists were trying to elevate the social position of Asoka and his predecessors.

Jain tradition given in Hemachandra’s Parisisthaparvan relates Chandragupta as the son of a daughter of the chief of a village of peacock-tamers (Mayura-Poshaka). The use of the term ‘Vrishala’ and ‘Kula-hina’ in the Mudrarakshasa of Vishakadatta for Chandragupta probably means that Chandragupta was a mere upstart of an unknown family.

The Greek classical writers, such as Justin, describes Chandragupta Maurya as a man of humble origin, but does not mention his exact caste. The Junagarh Rock inscription of Rudradaman (150 A.D.) mentions the Vaisya Pusyagupta as the provincial governor of the Maurya king Chandragupta. There is a reference to Pusyagupta being the brother-in-law of Chandragupta which implies that the Mauryas may have been of Vaisya origin.

In conclusion, we can say that the Mauryas were of comparatively humble origin belonging to the Moriya tribe and were certainly of a low caste.

 

Chandragupta Maurya (321-297 B.C.):

Chandragupta Maurya succeeded to the Nanda throne in 321 B.C. after dethroning the last Nanda ruler (Dhanananda) at the age of 25. He was the protege of the Brahmin Kautilya, also known as Chanakya or Vishnugupta, who was his guide and mentor both in acquiring the throne and in keeping it.

The acquisition of Magadha was the first step in establishing the new dynasty. Once the Ganges valley was under his control, Chandragupta moved to the north-west to exploit the power vacuum created by Alexander’s departure. The areas of the North-West fell to him rapidly.

Moving back to Central India he occupied the region north of the Narmada River. But 305 B.C. saw him back in the north-west involved in a campaign against Seleucus Nikator (Alexander’s general who gained control of most Asiatic provinces of the Macedonian empire) which Chandragupta finally won in 303 B.C. Both signed a treaty and entered into a marriage alliance.

Who married whose daughter is not clearly known? But it seems that Chandragupta made a gift of 500 elephants to the Greek general and ob­tained the territory across the Indus viz., the Satrapies of Paropanisadai (Kabul), Aria (Herat), Arachoisa (Kandahar), and Gedrosia (Baluchistan). Seleucus’s ambassador, Megasthenes, lived for many years at the Maurya court at Pataliputra and travelled extensively in the country.

According to Jaina sources (Parisistaparvan), Chandragupta embraced Jainism towards the end of his life and stepped down from the throne in favour of his son, Bindusara. Accompanied by Bhadrabahu, a Jaina saint, and several other monks he is said to have gone to Sravana Belgola near Mysore, where he deliberately starved himself to death in the approved Jaina fashion (Sallekhana).

Kautilya and Arthashastra:

Kautilya was the Prime Minister of Chandragupta Maurya. Chandragupta found the Mauryan Empire with his help. Arthashastra was written by him. It is the most important source for writing the history of the Mauryas and is divided into 15 adhikarnas or sections and 180 Prakaranas or subdivi­sions. It has about 6,000 slokas. The book was discovered by Shamasastri in 1909 and ably trans­lated by him.

 

It is a treatise on statecraft and Public Administration. Despite the controversy over its date and authorship, its importance lies in the fact that it gives a clear and methodological analysis of economic and political conditions of the Mauryan period.

The similarities between the administrative terms used in the Arthashastra and in the Asokan edicts certainly suggests that the Mauryan rulers were acquainted with this work.As such his Arthashastra provides useful and reliable information regarding the social and political conditions as well as the Mauryan administration.

  1. King:

Kautilya suggests that the king should be an autocrat and he should concentrate all powers into his own hands. He should enjoy unrestricted authority over his realm. But at the same time, he should give honour to the Brahmanas and seek advice from his ministers. Thus the king though autocrat, should exercise his authority wisely.

He should be cultured and wise. He should also be well-read so as to understand all the details of his administration. He says that the chief cause of his fall is that the king is inclined towards evil. He lists six evils that led to a king’s decline. They are haughtiness, lust, anger, greed, vanity and love of pleasures. Kautilya says that the king should live in comfort but he should not indulge in pleasures.

  1. Ideals of Kingship:

The major ideal of kingship according to Kautilya is that his own well-being lies in the well-being of his people of only the happy subjects ensure the happiness of their sovereign. He also says that the king should be ‘Chakravarti’ or the conqueror of different Realms and should win glory by conquering other lands.

He should protect his people from external dan­gers and ensure internal peace. Kautilya maintained that the soldiers should be imbued with the spirit of a ‘holy war’ before they march to the battlefield. According to him, all is fair in a war waged in the interest of the country.

  1. About the Ministers:

Kautilya maintains that the king should appoint ministers. King without ministers is like a one-wheeled chariot. According to Kautilya, king’s ministers should be wise and intelligent. But the king should not become a puppet in their hands.

He should discard their improper advise. The ministers should work together as; a team. They should hold meetings in privacy. He says that the king who cannot keep his secrets cannot last long.

  1. Provincial Administration:

Kautilya tells us that the kingdom was divided into several provinces governed by the members of the royal family. There were some smaller provinces as Saurashtra and Kambhoj etc. administered by other officers called ‘Rashtriyas’. The provinces were divided into districts which were again sub-divided into villages. The chief administrator of the district was called the ‘SthaniK while the village headman was called the ‘Gopa’.

  1. Civic Administration:

The administration of big cities as well as the capital city of Pataliputra was carried on very efficiently. Pataliputra was divided into four sectors. The officer incharge of each sector was called the ‘Sthanik. He was assisted by junior officers called the ‘Gopas’ who looked after the welfare of 10 to 40 families. The whole city was in the charge of another officer called the ‘Nagrika’. There was a system of regular census.

  1. Spy Organisation:

Kautilya says that the king should maintain a Network of spies who should keep him well informed about the minute details and happenings in the country, the provinces, the districts and the towns. The spies should keep watch on other officials. There should be spies to ensure peace in the land. According to Kautilya, Women spies are more efficient than men, so they should, in particular, be recruited as spies. Above all the kings should send his agents in neighbouring countries to gather information of political significance.

  1. Shipping:

Another significant information that we gather from Kautilya is about shipping under the Mauryas. Each port was supervised by an officer who kept vigil on ships and ferries. Tolls were levied on traders, passengesand fishermen. Almost all ships and boats were owned by the kings.

  1. Economic Condition:

Kautilya says that POVERTY is a major cause of rebellions. Hence there should be no shortage of food and Money to buy it, as it creates discontent and destroys the king. Kautilya therefore advises the king to take steps to improve the economic condition of his people. Kautilya says that the chief Source Of Income was the land revenue in villages while the tax on the sale of goods was the chief source in the cities.

Bindusara (297-272 B.C.):

In 297 B.C., Chandragupta was succeeded by his son Bindusara, known to the Greeks as Amitrochates (Sanskrit, Amitraghata, the destroyer of foes). Bindusara campaigned in the Deccan, extending Mauryan control in the peninsula as far south as Mysore.

He is said to have conquered the land between the two seas’, presumably the Arabian Sea and the Bay of Bengal. Kalinga (modern Orissa) on the eastern coast, however, remained hostile and was conquered in the succeeding reign by Bindusara’s son Ashoka.

In foreign affairs, Bindusara maintained the friendly relations with the Hellenic west established by his father. He is said to have had contacts with Antiochus I Soter, king of Syria, son of Seleucus Nikator whose ambassador, Deimachos was said to have been at his court.

A man of wide tastes and interests, he requested Antiochus I to send him some sweet wine, dried figs and a sophist; the last being not meant for export, however, could not be sent. Pliny mentions that Ptolemy Philadelpus of Egypt sent Dionysius as his ambassador to India. The Ashokavadana informs us that a revolt took place in Taxila during the reign of Bindusara, when the citizens objected to the oppression of the higher officials. Bindusara sent Asoka to put an end to the revolt, which he did successfully.

Ashoka (268-232 B.C.):

Bindusara’s death in 272 B.C. led to a struggle for SUCCESSION among his sons. It lasted for four years and in 268 B.C. Ashoka emerged successful. According to Asokavadana, Subhadrangi was the mother of Ashoka and it describes her as the daughter of a Brahman of Champa.

The Divyavadana version largely agrees with that of the Ashokavadana. She is called Janapadakalyani, or in other version of the same source Subhadrangi. In the Ceylonese source, Vamsatthapakasini the Queen mother is called Dharma.

According to legend, Ashoka as a young prince was given charge of the Viceroyship of Ujjain. Buddhist texts inform us that a revolt took place in Taxila during the reign of Bindusara and Ashoka was sent to quell it. This he did without antagonising the local populace. Corroboration for this may be sought in an Aramaic inscription from Taxila which refers to Priyadarshi the viceroyor governor.

During his Viceroyalty of Ujjain he fell in love with the daughter of a merchant of Vidisa, referred to as Devi or Vidisamahadevi or Sakyani. Ashoka’s two other well-known queens were Karuvaki and Asandhimitra. The second queen, Karuvaki is mentioned in the Queen’s Edict inscribed on a pillar at Allahabad, in which her religious and charitable donations are referred to. She is described as the mother of Prince Tivara, the only son of Asoka to be mentioned by the name in the inscription.

As regards Ashoka’s accession to the throne there is a general agreement in the sources that Ashoka was not the crown prince but succeeded after killing his brothers. There is, however, no unanim­ity in the texts either regarding the nature of the struggle or the number of his brothers.

In one place the Mahavamsa states that Asoka killed his elder brother to become king whereas elsewhere in the same work and also in the Dipavamsa he is said to have killed ninety-nine brothers. The Mahavamsa states that although he put ninety-nine brothers to death, Asoka spared the life of the youngest of these, Tissa who was later made vice-regent (He retired to a life of religious devotion having come under the influence of the preacher Mahadhammarakkhita and then known by the name of Ekaviharika). It seems that though there was a struggle, a lot of descriptions of it are plain exaggerations.

After ascending the throne, Ashoka according to Taranatha spent several years in pleasurable pursuits and was consequently called Kamasoka. This was followed by a period of extreme wicked­ness, which earned him the name of Candasoka. Finally his conversion to Buddhism and his subse­quent piety led him to be called Dhammasoka.

The most important event of Ashoka’s reign seems to have been his conversion to Buddhism after his victorious war with Kalinga in 260 B.C. Kaling con­trolled the routes to South India both by land and sea, and it was therefore necessary that it should become a part of the Mauryan Empire.

The 13th Major Rock Edict vividly describes the horrors and miseries of this war and the deep remorse it caused to Ashoka. In the words of the Mauryan emperor, ‘A hundered and fifty thousand people were deported, a hundred thousand were killed and many times that number perished…………. It has been stated in the past that he was dramatically converted to Buddhism immediately after the battle, with its attendant horrors.

But this was not so, and as one of his inscriptions, viz., Bhabra Edict, states it was only after a period of more than two years that he became an ardent supporter of Buddhism under the influence of a Buddhist monk, Upagupta.

He also states his acceptance of the Buddhist creed, the faith in the Buddha, the Dhamma (the teachings of the Buddha), and the Samgha. Written specifically for the local Buddhist clergy, he also refers to himself as the ‘king of Magadha’, a title which he uses only on this occasion.

The Buddhist church was reorganised during his reign with the meeting of Third Buddhist council at Pataliputra in 250 B.C. under the chairmanship of Mogalliputta Tissa but the emperor himself does not refer to it in his inscrip­tions.

This stresses the point that Asoka was careful to make a distinction between his personal support for Buddhism and his duty as emperor to remain unattached and unbiased in favour of any religion. The Third Buddhist Council is significant because it was the final attempt of the more sectar­ian Buddhists, the Theravada School, to exclude both dissidents and innovators from the Buddhist Order.

Furthermore, it was at this Council that it was decided to send missionaries to various parts of the sub-continent and to make Buddhism an actively proselytizing religion.

Ashoka mentions various of his contemporaries in the Hellenic world with whom he exchanged missions, diplomatic and otherwise in his 13th Major Rock Edict. These have been identified as Antiochus II Theos of Syria, (Amtiyoga)the grandson of Seleucus Nikator; Ptolemy III Philadelphus of Egypt (Tulamaya); Antigonus Gonatus of Macedonia (Antekina); Magas of Cyrene (Maka) and Alexander of Epirus (Alikyashudala).

Communications with the outside world were by now well developed. Asokan inscriptions corrobo­rated by archaeological data are a reliable guide to the extent of the Mauryan Empire.

Magadha was the Home province of the Mauryas and the city of Pataliputra its capital. Other cities mentioned in the inscriptions include Ujjain, Taxila, Tosali near Bhubaneshwar, Kausambi and Suvarnagiri in Andhra Pradesh.

According to tradition, Kashmir was included in the Ashokan Empire and that Ashoka built the city of Srinagar. Khotan in Central Asia was also supposed to have come under Mauryan sway.

The Mauryans had close connections with the areas of modern Nepal since the foothills were a part of the empire. One of Ashokan’s daughter is said to have married a nobleman from the Mountains of Nepal.

In the east, Mauryan influence extended as far as the Ganga delta. Tamralipti or modern Tamluk was an important port on the Bengal coast from where the ships sailed for Burma, Sri Lanka as well as for South India. Another major port on the west coast was Broach at the mouth of the Narmada.

Kandahar formed the western-most extension of the Mauryan Empire and Ashokan inscriptions mention the Gandharas, Kambojas and the Yonas as his borderers. Through the north-west the Mauryas maintained close contacts with their neighbours, the Seleucid Empire and the Greek kingdoms.

Mauryan relations with Sri Lanka were very close and Asoka sent his son Mahindra and daughter Sanghamitra to preach Buddhism in Sri Lanka. Asokan inscriptions in the south mention several people with whom he was on friendly terms – the Cholas, Pandyas, Satiyaputras and Keralaputras (Major Rock Edict II.)

Disintegration of the Empire:

Towards the end of his reign Asoka’s grip over the imperial organisation became weak. The Maurya Empire began to decline with the death of Asoka in 232 B.C., soon after it broke up. The evidence for the later Mauryas is very meagre.

The Puranas, besides Buddhist and Jaina literature, do provide us with some information on the later Mauryas, but there is no agreement among them. Even among the Puranas, there is a lot of Variance between one Puranas and another. The one statement on which all the Puranas are in agreement is that the dynasty lasted 137 years.

Ashoka’s death was followed by the division of the empire into western and eastern halves. The western part including the north-western province, Gandhara and Kashmir was governed by Kunala (one of the sons of Ashoka) and then for a while by Samprati (according to Jaina tradition he was a grandson of Ashoka and a patron of Jainism).

It was later threatened from the north-west by the Bactrian Greeks, to whom it was practically lost by 180 B.C. From the south, the threat was posed by the Andhrasorthe Satavahanas who later came to power in the Deccan.

The eastern part of the Maurya Empire, with its capital at Pataliputra, came to be ruled by Dasaratha (probably one of the grandsons of Ashoka). Dasaratha apart from being mentioned in the Matsya Purana is also known to us from the caves in the Nagarjuni Hills, which he dedicated to the Ajivikas.

According to the Puranas, Dasaratha reigned for eight years. This would suggest that he died without an heir old enough to come to the throne. The same sources speak of Kunala ruling for eight years.

He must have died at about the same time as Dasaratha; so that Sampriti now ruling in the west may have successfully regained the throne at Pataliputra, thus uniting the empire again.

This event occurred in 223 B.C. However, the empire had probably already begun to disintegrate. Jaina sources mention that Samprati ruled from Ujjain and Pataliputra. After Dasaratha and Samprati came Salisuka, a prince mentioned in the astronomical work, the Gargi Samhita, as a wicked quarrelsome king.

The successors of Salisuka, according to the Puranas, were Devavarman, Satamdhanus and finally Brihadratha. The last prince was overthrown by his commander-in-chief, Pushyamitra, who laid the foundations of a new dynasty called Sunga dynasty.

Causes for the Decline of the Mauryas:

The Magadhan Empire, which had been reared by successive wars culminating in the conquest of Kalinga, began to disintegrate after the death of Ashoka in 232 B.C. The reason given by historians for such, rapid declines are as conflicting as they are confusing.

Some of the very obvious and other controversial causes for the decline of the Mauryan Empire are discussed below:

  1. One of the more obvious reasons for the decline was the succession of weak kings after Ashoka.
  2. A further and immediate cause was the partition of the empire into two, the eastern part under Dasaratha and the western part under Kunala. Had the partition not taken place, the Greek invasions of the north-west could have been held back for a while, giving the Mauryas a chance to re-establish some degree of their previous power. The partition of the empire disrupted the various Services as well.
  3. Scholars have suggested that the pro-Buddhist policies of Ashoka and the pro-Jaina policies of his successors alienated the Brahmins and resulted in the revolt of Pushyamitra, the founder of the Shunga dynasty. H.C. Raychaudhuri maintains that Asoka’s pacifist policies were responsible for undermining the strength of the empire.

The second argument blames Ashoka’s emphasis on non­violence for weakening the empire and its military strength. Haraprasad Sastri holds the view that the decline of the Mauryan Empire was the result of the Brahmanical revolt on account of ban on animal sacrifices and undermining the prestige of the Brahmanas. Both these arguments are rather simplistic.

Pushyamitra’s usurpation of the throne cannot be seen as a brahmana revolt because by that time the administration had become so ineffective that officials were willing to accept any viable alternative.

The second proposition does not take into ac­count the nature of the policy of non-violence. There is nothing in the Ashokan inscriptions to suggest demobilization of the army. Similarly capital punishment continued. The emphasis was on the reduc­tion of species, and numbers of animals killed for food. There is nothing to suggest that the killing of animals stopped completely.

  1. Another reason put forward by some historians such as D.D. Kosambi is that there was consid­erable pressure on the Mauryan economy under the later rulers leading to heavy Taxation.

This opinion is again one-sided and is not corroborated by archaeological data. Excavations at sites like Hastinapura and Sisupalgarh have shown improvement in the material culture.

  1. The organization of administration, and the conception of the state or the nation, were of great significance in the causes of the decline of the Mauryas. The Mauryan administration was of an extremely centralized character which necessitated a king of considerable personal ability.

In such a situation the weakening of the central control leads automatically to a weakening of the administration. With the death of Ashoka and the uneven quality of his successors, there was a weakening at the centre, particularly after the division of the empire.

  1. The Mauryan state derived its revenues from taxing a variety of Resources which would have to grow and expand so that the administrative apparatus of the state could be maintained.

Unfortunately the Mauryas made no attempt to expand the revenue potential or to restructure and reorganise the resources. This inherent weakness of the Mauryan economy when coupled with other factors led to the collapse of the Mauryan Empire.

  1. The spread of material culture of the Gangetic basin to the outlying areas led to the formation of new kingdoms.

Administrative Organization of the British

Army

Army fulfilled four important functions:

  1. Instrument to conquer Indian powers
  2. Defended the British Empire in India against foreign rivals
  3. Safe-guarded against internal revolt
  4. Chief instrument for extending and defending the British Empire in Asia and Africa.

Bulk of the army consisted of Indians. In 1857, of the total strength of 311400, about 265900 were Indians. Highest Indian rank was that of Subedar.

British could conquer and control India through a predominantly Indian army because:

  1. There was absence of modern nationalism at that time
  2. The company paid its soldiers regularly and well, as opposed to the Indian rulers and chieftains.

Police

Cornwallis was responsible for the creation of a modern police system in India. He established a system of Thanas (or circles) headed by a daroga. The police:

  1. Prevented organization of a large-scale conspiracy against foreign control
  2. Was used to suppress the national movement.

Judiciary

Though started by Hastings, the system was stabilized by Cornwallis.

Civil Cases

District: Diwani Adalat (https://exam.pscnotes.com/civil-court”>Civil Court) presided over by the District Judge

Provincial Court: Appeal from civil court

Sardar Diwani Adalat: Highest appeal

There were also, below the District Court, Registrar’s Court (headed by Europeans) and Subordinate Courts headed by Indians known as munsifs or amins.

Criminal Cases

4 divisions of Bengal presidency. Each had a Court of Circuit presided over by the civil servants. Appeals could be made to Sardar Nizamat Adalat.

William Bentinck:

  • Abolished the provincial courts of appeal and circuit
  • Their work was assigned to District Collectors
  • Raised the status and power of Indians in the Judicial service.

In 1865, High Courts were established at Madras, Calcutta and Bombay.

British brought about  uniformity in the system of law. In 1833, the government appointed Law Commission headed by Macaulay to codify Indian Laws. This eventually resulted in the Indian Penal Code, Code of Civil and Criminal Procedures and other codes of laws.

Major types of rocks and their characteristics

 

 

They are aggregates or physical mixture of one or more Minerals. Minerals on the other hand are made up of two or more Elements in a definite ratio. They have a definite chemical composition. Crust is made up of more than 2000 minerals, but out of these, 6 are the most abundant and contribute the maximum to this uppermost part of the earth. These are feldspar, quartz, pyroxenes, amphiboles, mica and olivine.
Rocks are of immense economic importance to us.
Rocks differ in their properties, size of particles and mode of formation. On the basis of mode of formation rocks may be grouped into three types:
(a) Igneous
(b) Sedimentary and
(c) Metamorphic

Igneous  Rocks

https://exam.pscnotes.com/igneous-rocks”>Igneous Rocks are formed by crystallization from a liquid, or magma. They include two types
Volcanic or extrusive igneous rocks form when the magma cools and crystallizes on the surface of the Earth
Intrusive or plutonic igneous rocks wherein the magma crystallizes at depth in the Earth.

Magma is a mixture of liquid rock, crystals, and gas. Characterized by a wide range of chemical compositions, with high temperature, and properties of a liquid.
On the basis of their mode of occurrence, igneous rocks can be classified as : extrusive or volcanic rocks and intrusive rocks.
(i) Extrusive igneous rocks are formed by cooling of lava on the earth’s surface. As lava cools very rapidly on coming out of the hot Interior Of The Earth, the mineral crystals forming these rocks are very fine. These rocks are also called volcanic rocks. Gabbro and basalt are very common examples of such rocks. These rocks are found in volcanic areas. Deccan plateau’s regur Soil in India is derived from lava.

(ii) Intrusive igneous rocks are formed when magma solidifies below the earth’s surface. The rate of cooling below the earth’ s surface is very slow which gives rise to formation of large crystals in the rocks. Deep seated intrusive rocks are termed as plutonic rocks and shallow depth intrusive rocks are termed as hypabyssal. Granite and dolerite are common examples of intru- sive rocks. From this point of view, therefore, igneous rocks can, in accor- dance with their mode of formation, be classified as (a) Plutonic, (b) Hyp- abyssal and (c) Volcanic rockmasses. The huge blocks of coarse granitic rocks are found both in the Himalaya and the Decean Plateau.

 

Sedimentary Rocks

Sedimentary Rocks are formed by successive deposition of sediments. These sediments may be the debris eroded from any previously existing rock which may be igneous rock, metamorphic or old sedimentary rock. Sedimentary rocks have layered or stratified structure. The thickness of strata varies from few millimeters to several metres. So these rocks are also called stratified rocks. Generally, these rocks have some type of fossil between their strata. Fossil is the solid part or an impression of a prehistoric animal or plant embedded in strata of sedimentary rocks. Sedimentary rocks are widely spread on the earth surface but to a shallow depth.

The formation of sedimentary rocks involves five processes:

  1. Weathering – The first step is transforming solid rock into smaller fragments or dissolved ions by physical and Chemical Weathering as discussed in the last lecture.
    2. Erosion – Erosion is actually many process which act together to lower the surface of the earth. In terms of producing sediment, erosion begins the Transpiration process by moving the weathered products from their original location. This can take place by gravity (mass wasting events like landslides or rock falls), by running water. by wind, or by moving ice. Erosion overlaps with transpiration.
    3. Transportation – Sediment can be transported by sliding down slopes, being picked up by the wind, or by being carried by running water in streams, rivers, or ocean currents. The distance the sediment is transported and the energy of the transporting medium all leave clues in the final sediment that tell us something about the mode of transportation.
    4. Deposition – Sediment is deposited when the energy of the transporting medium becomes too low to continue the transport process. In other words, if the velocity of the transporting medium becomes too low to transport sediment, the sediment will fall out and become deposited. The final sediment thus reflects the energy of the transporting medium.
    5. Lithification (Diagenesis) – Lithification is the process that turns sediment into rock. The first stage of the process is compaction. Compaction occurs as the weight of the overlying material increases. Compaction forces the grains closer together, reducing pore space and eliminating some of the contained water. Some of this water may carry mineral components in solution, and these constituents may later precipitate as new minerals in the pore spaces. This causes cementation, which will then start to bind the individual .

Metamorphic Rocks

Metamorphic rocks are formed under the influence of heat or pressure on sedimentary or igneous rocks. Tremendous pressure and high temperature change the colour, hard- ness, structure and composition of all types of pre-existing rocks. The process which bring about the change is known as Metamorphism and the ultimate products, formed due to operation of such processes are defined as the Metamrphic rocks.
Metamorphism refers to the changes in mineral assemblage and texture that result from subjecting a rock to pressures and temperatures different from those under which the rock originally formed.
The original rock that has undergone metamorphism is called the protolith. Protolith can be any type of rock .

Metamorphism occurs because rocks undergo changes in temperature and pressure and may be subjected to differential Stress and hydrothermal fluids. Metamorphism occurs because some minerals are stable only under certain conditions of pressure and temperature. When pressure and temperature change, chemical reactions occur to cause the minerals in the rock to change to an assemblage that is stable at the new pressure and temperature conditions. But, the process is complicated by such things as how the pressure is applied, the time over which the rock is subjected to the higher pressure and temperature, and whether or not there is a fluid phase present during metamorphism. Different types of metamorphic rocks are found all over the world. In India, marble is found in Rajasthan, Bihar and Madhya Pradesh, whereas slates are available in plenty in Orissa, Andhra Pradesh and Haryana. In Kangra and Kumaun regions ]of Himalaya, slates of different colours are found.

Volcanoes

 

 

Volcano is a  place on the earth’s surface (or any other planet) where molten rock and gases are erupted. or  hill or mountain built up by the eruption of molten rock.Volcanic eruptions are caused by magma (a mixture of liquid rock, crystals, and dissolved gas) expelled onto the Earth’s surface.

Basaltic magmas tend to be fairly fluid (low viscosity), Rhyolitic magmas tend to have even higher viscosity,Viscosity is an important property in determining the eruptive behavior of magmas.

Fissure Volcano
Fissure https://exam.pscnotes.com/volcanoes”>Volcanoes have no central crater at all. Instead,giant cracks open in the ground and expel vast quantitiesof lava. This lava spreads far and wide to form huge poolsthat can cover almost everything around. Whenthese pools of lava cool and solidify, the surfaceremains mostly flat. Since the source cracksare usually buried, there is often nothing”volcano-like” to see – only a flat plain.
Cinder cones
Cinder cones are simple volcanoes which have a bowl-shaped crater at the summit and steep sides. They only grow to about a thousand feet, the size of a hill. They usually are created of eruptions from a single opening, unlike a strato-volcano or shield volcano which can erupt from many different openings. Cinder cones are typically are made of piles of lava, not ash. During the eruption, blobs (“cinders”) of lava are blown into the air and break into small fragments that fall around the opening of the volcano. The pile forms an oval-shaped smallvolcano.

Shield volcanoes
Shield volcanoes are the largest volcanoes. They have gentle, almost straight slopes and a wide, circular base.These volcanoes form when thin, running lava flows over a large area. Each time the volcano quietly erupts, thelayers of cooled lava build up.The lava that forms shield volcanoes contains a large volume of basalt. It has a very low viscosity. Basaltic lavacontains few gases, resulting in quiet, flowing eruptions. Mauna Loa, in Hawaii, is an example of a shield volcano.

Composite volcano.
A violent eruption occurs, forcing cinders and ash fromthe vent. This material settles around the vent, much like a cinder-cone volcano. This event is followed by a quieteruption. The lava flows over the cinders. It eventually cools and hardens. After many of these alternatingeruptions, a tall cone-shaped mountain forms.
The lava that forms composite volcanoes also has a low viscosity. It contains large amounts of silica, water, andgases. These violent volcanoes can be very dangerous. Mount Etna, in Italy, and Mount Saint Helens, in the UnitedStates, are two examples of composite volcanoes.

 

 

 

Classification of climates, (Koppen and Thornthwaite)

 

Climatic Regions of India : Koeppen’s Classification
Climate Type Climatic Region Annual Rainfall in the Region
Amw
(Monsoon type with shorter dry winter season)
Western coastal region, south of Mumbai over 300 cm
As
(Monsoon type with dry season in high sun period)
Coromandel coast = Coastal https://exam.pscnotes.com/tamil”>Tamil Nadu and adjoining areas of Andhra Pradesh 75 – 100 cm

[wet winters, dry summers]
Aw
(Tropical Savanah type)
Most parts of the peninsular plateau barring Coromandel and Malabar coastal strips 75 cm
BShw
(Semi-arid Steppe type)
Some rain shadow areas of Western Ghats, large part of Rajasthan and contiguous areas of Haryana and Gujarat 12 to 25 cm
BWhw
(Hot desert type)
Most of western Rajasthan less than 12 cm
Cwg
(Monsoon type with dry winters)
Most parts of the Ganga Plain, eastern Rajasthan, Assam and in Malwa Plateau 100 – 200 cm
Dfc
(Cold, Humid winters type with shorter summer)
Sikkim, Arunachal Pradesh and parts of Assam ~200 cm
Et
(Tundra Type)
Mountain areas of Uttarakhand

The Average temperature varies from 0 to 10°C

Rainfall varies from year to year.
E
(Polar Type)
Higher areas of Jammu & Kashmir and Himachal Pradesh in which the temperature of the warmest month varies from 0° to 10°C Precipitation occurs in the form of snow

 

 

 

 

 

Climatic Regions of India : Trewartha’s Classification

Climate Type Climatic Region Other Cliamatic Condtions
Am
(Tropical Rain Forest)
Western coastal region, Sahayadris and parts of Assam 200 cm annual rainfall  &

18.2 C to 29 C temperature

Aw

(Tropical Savanna)

Peninsular India except the semi arid zone 150 cm annual rainfall &  18 C-32 C temperature
Aw
(Tropical Savanah type)
Most parts of the peninsular plateau barring Coromandel and Malabar coastal strips 75 cm
BS
(Semi-arid Steppe type)
Runs southwards from central Maharashtra to Tamilnadu, Andhra Pradesh 40-75 cm annual rainfall & 20-32 C temperature
BSh
(Tropical and subtropical Steppe)
Ranges from Punjab to Kutch Annual temperature 35 C & 30-60 cm annual rainfall
BWh
(Tropical Desert)
Western parts of Barmer, Jaiselmer and Bikaner and parts of Kutch Annual Temperature 35 C & annual rainfall 25 cm
Caw

(Humid Subtropical Climate with dry winters)

It ranges from Punjab to Assam Rainfall from 100-150 cm
H (Mountain Climate) Mountain areas of Himalayas including Jammu & Kashmir, Uttarakhand, Himachal Pradesh, Sikkim, Arunachal Pradesh The average temperature varies from 0 to 10°C.

 

Important Formulas – Mixtures and Alligations

 

  1. Alligation

    It is the rule which enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of a specified price.

  2. Mean Price

    Mean price is the cost price of a unit quantity of the mixture

 

  1. Suppose a container contains x of liquid from which y units are taken out and replaced by water.After n operations, the quantity of pure liquid = [x(1−y/x)n]

 

  1. Rule of Alligation

    If two ingredients are mixed, then

    (Quantity of cheaper/Quantity of dearer)=(P. of dearer – Mean Price)/(Mean price – C.P. of cheaper)

Cost Price(CP) of a unit quantity
of cheaper (c)
Cost Price(CP) of a unit quantity
of dearer (d)
   
Mean Price
(m)
(d – m) (m – c)
  1. => (Cheaper quantity) : (Dearer quantity) = (d – m) : (m – c)

 

Solved Examples

Level 1

1.A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
A. 26 litres B. 29.16 litres
C. 28 litres D. 28.2 litres

 

 

Answer : Option B

Explanation :

Assume that a container contains x of liquid from which y units are taken out and replaced

by water. After n operations, the quantity of pure liquid

=[x(1−y/x)n]

Hence milk now contained by the container = 40(1−4/40)3=40(1−1/10)3

40×9/10×9/10×9/10=(4×9×9×9)/100=29.16

2.A jar full of whiskey contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohols and now the Percentage of alcohol was found to be 26%. The quantity of whisky replaced is
A. 43 B. 34
C. 32 D. 23

 

 

Answer : Option D

Explanation :

Concentration of alcohol in 1st Jar = 40%

Concentration of alcohol in 2nd Jar = 19%

After the mixing, Concentration of alcohol in the mixture = 26%

By the rule of alligation,

Concentration of alcohol in 1st Jar Concentration of alcohol in 2nd Jar
40% 19%
Mean
26%
7 14

Hence ratio of 1st and 2nd quantities = 7 : 14 = 1 : 2

 

3.In what ratio should rice at Rs.9.30 per Kg be mixed with rice at Rs. 10.80 per Kg so that the mixture be worth Rs.10 per Kg ?
A. 7 : 8 B. 8 : 7
C. 6 : 7 D. 7 ; 6

 

 

Answer : Option B

 

Explanation :

By the rule of alligation, we have

 

Cost of 1 kg rice of 1st kind Cost of 1 kg rice of 2nd kind
9.3 10.80
Mean Price
10
10.8-10 = .8 10 – 9.3 = .7

Required ratio = .8 : .7 = 8 : 7.

 

 

 

 4.In what ratio must water be mixed with milk costing Rs.12 per litre in order to get a mixture worth of Rs.8 per litre?
A. 1 : 3 B. 2 : 2
C. 1 : 2 D. 3 : 1

 

 

Answer : Option C

 

Explanation :

By the rule of alligation, we have

Cost Price of 1 litre of water Cost Price of 1 litre of milk
0 12
Mean Price
8
12-8=4 8-0=8

Required Ratio = 4 : 8 = 1 : 2

 

 

 

5.In 1 kg mixture of iron and manganese 20% of manganese. How much iron should be added so that the proportion of manganese becomes 10%
A. 1.5 Kg B. 2 Kg
C. .5 Kg D. 1 Kg

 

 

 

 

Answer : Option D

 

Explanation :

By the rule of alligation, we have

Percentage concentration of
manganese in the mixture : 20
Percentage concentration of
manganese in pure iron : 0
Percentage concentration of manganese in the final mixture
10
10 – 0 = 10 20 – 10 = 10

=> Quantity of the mixture : Quantity of iron = 10 : 10 = 1 : 1

Given that Quantity of the mixture = 1 Kg

Hence Quantity of iron to be added = 1 Kg

 

6.A trader has 1600Kg of sugar. He sells a part at 8% profit and the rest at 12% profit. If he gains 11% on the whole , find the quantity sold at 12%.
A. 1200 Kg B. 1400 Kg
C. 1600 Kg D. 800 Kg

 

 

 

Answer : Option A

 

Explanation :

By the rule of alligation, we have

 

% Profit by selling part1 % Profit by selling part2
8 12
Net % Profit
11
12 – 11 = 1 11 – 8 = 3

=>Quantity of part1 : Quantity of part2 = 1 : 3

Given that total quantity = 1600 Kg

Hence quantity of part2 (quantity sold at 12%) = 1600×3/4=1200

 

 

7.How many litres of water must be added to 16 liters of milk and water contains 10% water to make it 20% water in it
A. 4 litre B. 2 litre
C. 1 litre D. 3 litre

 

 

Answer : Option B

 

Explanation :

By the rule of alligation, we have

% Concentration of water
in pure water : 100
% Concentration of water
in the given mixture : 10
Mean % concentration
20
20 – 10 = 10 100 – 20 = 80

=> Quantity of water : Quantity of the mixture = 10 : 80 = 1 : 8

Here Quantity of the mixture = 16 litres

=> Quantity of water : 16 = 1 : 8

Quantity of water = 16×1/8=2 litre

 

8.A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is
A. 300 B. 400
C. 600 D. 500

 

 

Answer : Option C

 

Explanation :

By the rule of alligation,we have

Profit% by selling 1st part Profit% by selling 2nd part
8 18
Net % profit
14
18-14=4 14-8=6

=> Quantity of part1 : Quantity of part2 = 4 : 6 = 2 : 3

Total quantity is given as 1000Kg

So Quantity of part2 (Quantity sold at 18% profit) = 1000×3/5=600Kg

 

Level 2

 

1.Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, what is the price of the third variety per kg ?
A. Rs.182.50 B. Rs.170.5
C. Rs.175.50 D. Rs.180

 

 

Answer : Option C

Explanation :

Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed in the ratio 1 : 1

So their Average price = (126+135)2=130.5

Hence let’s consider that the mixture is formed by mixing two varieties of tea.

one at Rs. 130.50 per kg and the other at Rs. x per kg in the ratio 2 : 2, i.e.,

1 : 1. Now let’s find out x.

By the rule of alligation, we can write as

Cost of 1 kg of 1st kind of tea Cost of 1 kg of 2nd kind of tea
130.50 x
Mean Price
153
(x – 153) 22.50

(x – 153) : 22.5 = 1 : 1

=>x – 153 = 22.50

=> x = 153 + 22.5 = 175.5

 

2.A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
A. 5litres, 7 litres B. 7litres, 4 litres
C. 6litres, 6 litres D. 4litres, 8 litres

 

 

Answer : Option C

Explanation :

Let cost of 1 litre milk be Rs.1

Milk in 1 litre mix in 1st can = 3/4 litre

Cost Price(CP) of 1 litre mix in 1st can = Rs.3/4

Milk in 1 litre mix in 2nd can = 1/2 litre

Cost Price(CP) of 1 litre mix in 2nd can = Rs.1/2

Milk in 1 litre of the final mix=5/8

Cost Price(CP) of 1 litre final mix = Rs.5/8

=> Mean price = 5/8
By the rule of alligation, we can write as

CP of 1 litre mix in 2nd can CP of 1 litre mix in 1st can
1/2 3/4
Mean Price
5/8
3/4 – 5/8 = 1/8 5/8 – 1/2 = 1/8

=> mix in 2nd can :mix in 1st can = 1/8 : 1/8 = 1:1

ie, from each can, 12×12=6 litre should be taken

 

3.Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration 8 : 5 ?
A. 3: 4 B. 4 : 3
C. 9 : 7 D. 7 : 9

 

 

Answer : Option D

 

Explanation :

 

Let Cost Price(CP) of 1 litre spirit be Rs.1

Quantity of spirit in 1 litre mixture from vessel A = 5/7

Cost Price(CP) of 1 litre mixture from vessel A = Rs. 5/7

Quantity of spirit in 1 litre mixture from vessel B = 7/13

Cost Price(CP) of 1 litre mixture from vessel B = Rs. 7/13

Quantity of spirit to be obtained in 1 litre mixture from vessel C = 8/13

Cost Price(CP) of 1 litre mixture from vessel C = Rs. 8/13 = Mean Price

By the rule of alligation, we can write as

 

CP of 1 litre mixture from vessel A CP of 1 litre mixture from vessel B
5/7 7/13
Mean Price
8/13
8/13 – 7/13 = 1/13 5/7 – 8/13 = 9/91

=> Mixture from Vessel A : Mixture from Vessel B = 1/13 : 9/91 = 7 : 9 = Required Ratio

 

4.How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?
A. 60 Kg B. 63 kg
C. 58 Kg D. 56 Kg

 

 

Answer : Option B

Explanation :

Selling Price(SP) of 1 Kg mixture= Rs. 9.24

Profit = 10%

Cost Price(CP) of 1 Kg mixture= 100×SP /(100+Profit%) =100×9.24/(100+10)

=100×9.24/110=92.4/11=Rs.8.4

By the rule of alligation, we have

CP of 1 kg sugar of 1st kind CP of 1 kg sugar of 2nd kind
Rs. 9 Rs. 7
Mean Price
Rs.8.4
8.4 – 7 = 1.4 9 – 8.4 = .6

ie, to get a cost price of 8.4, the sugars of kind1 and kind2 should be mixed in the

ratio 1.4 : .6 = 14 : 6 = 7 : 3

Let x Kg of kind1 sugar is mixed with 27 kg of kind2 sugar

then x : 27 = 7 : 3

⇒x/27=7/3

⇒x=(27×7)/3=63

5.A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially?
A. 23 B. 21
C. 19 D. 17

 

 

Answer : Option B

Explanation :

Let’s initial quantity of P in the container be 7x

and initial quantity of Q in the container be 5x

Now 9 litres of mixture are drawn off from the container

Quantity of P in 9 litres of the mixtures drawn off = 9×7/12=63/12=21/ 4

Quantity of Q in 9 litres of the mixtures drawn off = 9×5/12=45/12=1/54

HenceQuantity of P remains in the mixtures after 9 litres is drawn off =7x−21/4

Quantity of Q remains in the mixtures after 9 litres is drawn off =5x−15/4

Since the container is filled with Q after 9 litres of mixture is drawn off,

Quantity of Q in the mixtures=5x−15/4+9=5x+21/4

Given that the ratio of P and Q becomes 7 : 9

⇒(7x−21/4):(5x+21/4)=7:9

⇒(7x−21/4)(5x+21/4)=7/9

63x−(9×21/4)=35x+(7×2/14)

28x=(16×21/4)

x=(16×21)/(4×28)

litres of P contained in the container initially = 7x=(7×16×21)/(4×28)=(16×21)/(4×4)=21

 

6.A dishonest milkman sells his milk at cost price but he mixes it with water and thereby gains 25%. What is the percentage of water in the mixture?
A. 25% B. 20%
C. 22% D. 24%

 

 

Answer : Option B

Explanation :

Let CP of 1 litre milk = Rs.1

Given that SP of 1 litre mixture = CP of 1 Litre milk = Rs.1

Given than Gain = 25%

Hence CP of 1 litre mixture = 100/(100+Gain%)×SP

=100(100+25)×1

=100/125=4/5

By the rule of alligation, we have

CP of 1 litre milk CP of 1 litre water
1 0
CP of 1 litre mixture
4/5
4/5 – 0 = 4/5 1- 4/5 = 1/5

=> Quantity of milk : Quantity of water = 4/5 : 1/5 = 4 : 1

Hence percentage of water in the mixture = 1/5×100=20%

Organizations & Their Survey/Reports

Organizations & Their Survey/Reports

1. World Economic & Social Survey U. N
2. World https://exam.pscnotes.com/investment”>Investment Report UNCTAD
3. Global Competitiveness Report World Economic Forum
4. World Economic Outlook IMF
5. Business Competitive Index World Economic Forum
6. Green Index World Bank
7. Business Confidence Index NCAER
8. POVERTY Ratio Planning Commission
9. Economic Survey Ministry of Finance
10. Wholesale Price Index Ministry of Industry
11. National Account Statistics CSO
12. World Development Indicator World Bank
13. Overcoming Human Poverty UNDP
14. Global Development Report World Bank