1. The document discusses the concept of alligation, which is a rule that determines the ratio in which two or more ingredients must be mixed to produce a mixture of a desired price.
2. Several examples are provided to demonstrate how to use the rule of alligation to calculate mixing ratios.
3. Key formulas introduced include the mean price formula and the alligation ratio formula.
The document provides 10 examples of solving mixture and alligation problems using the rule of alligation. The rule states that if two items are mixed in a ratio, the ratio of the difference between the mean price and dearer price to the difference between the mean price and cheaper price is equal to the ratio of the quantities of the cheaper and dearer items. Each example applies this rule to find unknown quantities, prices, or percentages when items of different values or concentrations are mixed.
quantitative aptitude- mixture & allegation
applicable to
Common Aptitude Test (CAT)
Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defence Competitive Exams
L.I.C/ G. I.C Competitive Exams
Railway Competitive Exam
University Grants Commission (UGC)
Career Aptitude Test (IT Companies) and etc.
- The document discusses formulas and examples for calculating ratios when mixing ingredients at different costs to achieve a desired mixture price.
- It provides the formula to calculate the ratio of quantities that must be mixed from two ingredients costing different amounts to achieve a specific average price for the mixture.
- An example calculates the ratio in which two varieties of pulses costing Rs. 15 and Rs. 20 per kg must be mixed to obtain a mixture worth Rs. 16.50 per kg.
The document contains examples of average and mixture word problems with solutions. It includes problems about calculating the average age, weight, or marks of groups where new members join or leave. Other problems involve mixing substances like water, milk, sugar in different ratios and calculating the average properties of the mixtures. The document provides step-by-step workings to arrive at the solutions.
The document discusses the concept of alligation, which is a rule that determines the ratio in which ingredients must be mixed to produce a mixture of a desired price. It provides the rule of alligation and uses it to solve example problems involving determining the mixing ratio of ingredients of different prices to produce a mixture of a specified mean price. It also provides examples involving calculating the quantity of liquid remaining after repeated removal and replacement from a container.
1) The document discusses fractions, alligation, and mixtures. It provides examples of using chain rules or fractions to solve multi-step word problems involving changes in quantities over time or mixing of substances.
2) Alligation problems deal with mixing different quantities or compounds in specific ratios to form a mixture. The rule for alligation uses a formula to determine the ratio of quantities that need to be mixed.
3) Examples demonstrate using alligation to find numbers of items or volumes when quantities change over multiple steps due to reductions in amounts, replacements, or repeated operations.
This document provides information about mixture and alligation problems. It defines mixture as mixing two or more quantities and gives examples like a 20% sugar solution. Alligation is using a rule to find the ratio needed to mix ingredients at given prices to produce a mixture at a desired price. The alligation rule states that the cost of the cheaper item, costlier item, and mixture must satisfy the equation (D-M)(M-C). The document provides several multiple choice questions as examples of mixture and alligation problems.
This document discusses mixture and alligation problems. It provides examples of mixtures, defines alligation as a rule used to solve problems related to mixtures and their ingredients. It gives the alligation rule formula and provides multiple choice questions testing concepts like finding ratios to produce mixtures at desired prices, mixing ingredients at different costs, and problems involving mixtures of liquids like water, milk, alcohol etc.
The document provides 10 examples of solving mixture and alligation problems using the rule of alligation. The rule states that if two items are mixed in a ratio, the ratio of the difference between the mean price and dearer price to the difference between the mean price and cheaper price is equal to the ratio of the quantities of the cheaper and dearer items. Each example applies this rule to find unknown quantities, prices, or percentages when items of different values or concentrations are mixed.
quantitative aptitude- mixture & allegation
applicable to
Common Aptitude Test (CAT)
Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defence Competitive Exams
L.I.C/ G. I.C Competitive Exams
Railway Competitive Exam
University Grants Commission (UGC)
Career Aptitude Test (IT Companies) and etc.
- The document discusses formulas and examples for calculating ratios when mixing ingredients at different costs to achieve a desired mixture price.
- It provides the formula to calculate the ratio of quantities that must be mixed from two ingredients costing different amounts to achieve a specific average price for the mixture.
- An example calculates the ratio in which two varieties of pulses costing Rs. 15 and Rs. 20 per kg must be mixed to obtain a mixture worth Rs. 16.50 per kg.
The document contains examples of average and mixture word problems with solutions. It includes problems about calculating the average age, weight, or marks of groups where new members join or leave. Other problems involve mixing substances like water, milk, sugar in different ratios and calculating the average properties of the mixtures. The document provides step-by-step workings to arrive at the solutions.
The document discusses the concept of alligation, which is a rule that determines the ratio in which ingredients must be mixed to produce a mixture of a desired price. It provides the rule of alligation and uses it to solve example problems involving determining the mixing ratio of ingredients of different prices to produce a mixture of a specified mean price. It also provides examples involving calculating the quantity of liquid remaining after repeated removal and replacement from a container.
1) The document discusses fractions, alligation, and mixtures. It provides examples of using chain rules or fractions to solve multi-step word problems involving changes in quantities over time or mixing of substances.
2) Alligation problems deal with mixing different quantities or compounds in specific ratios to form a mixture. The rule for alligation uses a formula to determine the ratio of quantities that need to be mixed.
3) Examples demonstrate using alligation to find numbers of items or volumes when quantities change over multiple steps due to reductions in amounts, replacements, or repeated operations.
This document provides information about mixture and alligation problems. It defines mixture as mixing two or more quantities and gives examples like a 20% sugar solution. Alligation is using a rule to find the ratio needed to mix ingredients at given prices to produce a mixture at a desired price. The alligation rule states that the cost of the cheaper item, costlier item, and mixture must satisfy the equation (D-M)(M-C). The document provides several multiple choice questions as examples of mixture and alligation problems.
This document discusses mixture and alligation problems. It provides examples of mixtures, defines alligation as a rule used to solve problems related to mixtures and their ingredients. It gives the alligation rule formula and provides multiple choice questions testing concepts like finding ratios to produce mixtures at desired prices, mixing ingredients at different costs, and problems involving mixtures of liquids like water, milk, alcohol etc.
A study on ratio analysis at vst tillers tractors finalAnantha Bellary
The document provides an overview of the tractor industry in India from 1945 to 1997. It discusses the history and growth of the industry from initial imports to local production starting in 1961. By the 1990s, India had emerged as one of the world's leading producers of wheeled tractors. The largest manufacturers as of 1997 were Mahindra and Mahindra, TAFE, Escorts Ltd., and Punjab Tractors. The average tractor size was around 35HP but was expected to increase to 45HP by 2020. The document also summarizes various tractor models and manufacturers including Ford, Mitsubishi, Swaraj, HMT, and Mahindra Gujarat.
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The document provides an overview of Tumkur Cooperative Milk Producers Societies Union Limited (TCMPSUL). It discusses TCMPSUL's origins in 1975 as one of four milk unions started in Karnataka. It details TCMPSUL's objectives of providing an assured market and fair prices for milk producers while supplying quality milk to consumers. The document also outlines TCMPSUL's operations, including its processing capacity and milestones such as establishing chilling centers and computerizing milk procurement.
This document examines the contribution of foreign institutional investment to the Indian stock market between 2007-2012. It finds a positive correlation between FII inflows and stock market indices like the BSE Sensex and S&P CNX NIFTY, though FIIs accounted for only 15-16% of the indices' movements, while other factors had a greater influence. While FIIs provide benefits to the Indian economy, their impact on stock prices is limited and complex, dependent on numerous economic and political conditions. Managing FII inflows requires a balanced approach that liberalizes rules but also protects domestic markets and investors.
This document is a dissertation submitted by Anantha B in partial fulfillment of an MBA degree from Bangalore University. The dissertation studies the impact of foreign institutional investors on the Indian stock market under the guidance of Dr. K Janardhanam. It includes certificates of originality and declaration signed by the student and supervisor. The student acknowledges and thanks Dr. Janardhanam and others for their support and guidance during the dissertation.
The document provides monthly data for the BSE Sensex, S&P CNX Nifty stock market indices, and foreign institutional investments from March 2007 to February 2012. It includes the open, high, low, and close values for the indices each month, as well as the equity and debt amounts and totals for foreign institutional investments on a monthly basis.
The document discusses foreign institutional investors (FIIs) in India. It defines FIIs as institutions organized outside of India that invest in Indian securities markets under regulations by SEBI. FIIs can invest their own funds or on behalf of overseas clients/sub-accounts. To invest, foreign entities must register as FIIs by applying to SEBI and meeting eligibility criteria. There are also registration processes for sub-accounts. FIIs can make both primary and secondary market investments in a wide range of Indian securities, within certain investment limits and pricing guidelines. The trend of FII investments in India increased significantly in the early 2000s, reaching its highest level in 2004.
This document outlines the structure of a research paper, including an introduction in chapter 1, a literature review and research design in chapter 2, a profile of the industry studied in chapter 3, results, analysis and discussions of the findings in chapter 4, a summary of findings, conclusions and suggestions in chapter 5, and bibliography and annexure sections.
This bibliography contains references to books, journals, and websites on the topics of investments and finance. It lists 3 books on investments and investment management, 3 journals focused on finance and behavioral finance, and 5 websites including stock exchanges and financial regulatory authorities in India that provide information on markets, companies and regulations.
This document examines the contribution of foreign institutional investment in the Indian stock market between March 2007 and February 2012. It finds that there is a positive correlation between foreign institutional investment inflows and the BSE Sensex and S&P CNX NIFTY indices, at 39% and 39.6% respectively. Foreign institutional investment was found to moderately affect both of these Indian stock market indices. The document also provides suggestions to simplify procedures and relax barriers for foreign investors to encourage more foreign investment in India.
This document contains the table of contents for a study analyzing the relationship between foreign institutional investor flows and the Indian stock market. The document outlines 5 chapters, including an introduction, literature review and research methodology, profile of the Indian stock market industry, analysis and results, and conclusions. It also lists 4 tables and 5 figures that will be included to analyze trends in FII registration numbers, investment patterns, and the correlation between FII flows and stock market indexes. The goal is to examine the impact of foreign portfolio investment on the Indian stock market.
The document provides examples and formulas for calculating simple interest. It defines key terms like principal, interest rate, and time period. It then shows 12 example problems worked out step-by-step that demonstrate how to use the simple interest formula to calculate interest, principal, rate, or time given other variables.
1) The document provides formulas and examples to calculate boat speeds upstream and downstream based on the boat's speed in still water and the speed of the river current.
2) It gives the formulas to calculate a boat's speed in still water and the river current's speed based on the boat's upstream and downstream speeds.
3) Several word problems are worked out using the formulas to find values like boat speed in still water and river current speed given upstream and downstream times or distances.
This document provides examples and formulas related to calculating time and speed for trains passing each other or other objects. It includes the following key points:
1. Formulas for converting between km/hr and m/s for train speed calculations.
2. Formulas for calculating the time it takes trains of different lengths to pass each other or stationary objects, depending on whether they are moving in the same or opposite directions.
3. Examples applying the formulas to calculate train speeds, lengths, and times to pass objects from information provided about relative speeds and times.
1. The document provides examples and formulas for calculating time, distance, and speed. It includes the formulas for calculating speed, time, and distance when two quantities are given.
2. Sample problems are given involving calculating speeds and distances traveled by people and vehicles using the time-distance formulas. Distances, speeds, and times taken to cover distances are calculated in the examples.
3. Thirteen example problems are shown with step-by-step solutions for calculating speeds, times, and distances from trains, cyclists, thieves, and more using the time-distance formulas.
The document provides information and examples about pipes and cisterns. It defines inlet and outlet pipes and provides formulas for calculating fill and empty rates of tanks based on multiple pipes. It then gives 7 example problems demonstrating how to use the formulas to calculate fill or empty times for tanks based on combinations of inlet, outlet, and leak pipes.
The document discusses the chain rule for proportions and provides examples of using it to solve problems involving direct and indirect proportions. It defines direct and indirect proportions and gives examples. It then shows how to set up and solve equations using the chain rule for 8 examples involving various directly and indirectly proportional relationships between quantities like cost, work, wages, length, time, and provisions.
The document provides examples and formulas for calculating profit/loss ratios in partnerships when investments are made for different periods of time. It gives 6 solved examples showing how to calculate each partner's share based on their investment amount and duration in the partnership. The key points are that profit/loss is shared in proportion to investment amounts, and investments for different times are converted to equivalent amounts for a standard time period like a year.
1. The document discusses ratio and proportion, providing important formulae and examples. It defines ratio, proportion, and key proportional terms like extremes, means, fourth proportional, and third proportional.
2. Several example problems are worked through, applying the concepts of ratio, proportion, and variation to divide amounts of money and quantities in given ratios.
3. One example problem involves a mixture with alcohol and water in a given ratio, and determining the quantity of alcohol when additional water is added and the new ratio is provided.
The document discusses key concepts related to profit and loss calculations. It defines cost price as the price at which an article is purchased and selling price as the price at which an article is sold. It states that if the selling price is greater than the cost price, there is a profit, and if it is less than the cost price, there is a loss. It provides formulas to calculate profit/loss percentage and selling price based on cost price and profit/loss percentage. It also includes solved examples applying these concepts and formulas to calculation problems.
The document provides important facts and formulas regarding percentage calculations. It begins by defining percentage as hundredths. It gives the formulas to express a percentage as a fraction or decimal, or to express a fraction or decimal as a percentage. It then provides formulas to calculate results involving population growth rates, depreciation rates, and increases or decreases in quantities. The document concludes with solved examples applying the percentage formulas and concepts.
A study on ratio analysis at vst tillers tractors finalAnantha Bellary
The document provides an overview of the tractor industry in India from 1945 to 1997. It discusses the history and growth of the industry from initial imports to local production starting in 1961. By the 1990s, India had emerged as one of the world's leading producers of wheeled tractors. The largest manufacturers as of 1997 were Mahindra and Mahindra, TAFE, Escorts Ltd., and Punjab Tractors. The average tractor size was around 35HP but was expected to increase to 45HP by 2020. The document also summarizes various tractor models and manufacturers including Ford, Mitsubishi, Swaraj, HMT, and Mahindra Gujarat.
An Organisational study at TUMUL, Tumkur, KarnatakaAnantha Bellary
The document provides an overview of Tumkur Cooperative Milk Producers Societies Union Limited (TCMPSUL). It discusses TCMPSUL's origins in 1975 as one of four milk unions started in Karnataka. It details TCMPSUL's objectives of providing an assured market and fair prices for milk producers while supplying quality milk to consumers. The document also outlines TCMPSUL's operations, including its processing capacity and milestones such as establishing chilling centers and computerizing milk procurement.
This document examines the contribution of foreign institutional investment to the Indian stock market between 2007-2012. It finds a positive correlation between FII inflows and stock market indices like the BSE Sensex and S&P CNX NIFTY, though FIIs accounted for only 15-16% of the indices' movements, while other factors had a greater influence. While FIIs provide benefits to the Indian economy, their impact on stock prices is limited and complex, dependent on numerous economic and political conditions. Managing FII inflows requires a balanced approach that liberalizes rules but also protects domestic markets and investors.
This document is a dissertation submitted by Anantha B in partial fulfillment of an MBA degree from Bangalore University. The dissertation studies the impact of foreign institutional investors on the Indian stock market under the guidance of Dr. K Janardhanam. It includes certificates of originality and declaration signed by the student and supervisor. The student acknowledges and thanks Dr. Janardhanam and others for their support and guidance during the dissertation.
The document provides monthly data for the BSE Sensex, S&P CNX Nifty stock market indices, and foreign institutional investments from March 2007 to February 2012. It includes the open, high, low, and close values for the indices each month, as well as the equity and debt amounts and totals for foreign institutional investments on a monthly basis.
The document discusses foreign institutional investors (FIIs) in India. It defines FIIs as institutions organized outside of India that invest in Indian securities markets under regulations by SEBI. FIIs can invest their own funds or on behalf of overseas clients/sub-accounts. To invest, foreign entities must register as FIIs by applying to SEBI and meeting eligibility criteria. There are also registration processes for sub-accounts. FIIs can make both primary and secondary market investments in a wide range of Indian securities, within certain investment limits and pricing guidelines. The trend of FII investments in India increased significantly in the early 2000s, reaching its highest level in 2004.
This document outlines the structure of a research paper, including an introduction in chapter 1, a literature review and research design in chapter 2, a profile of the industry studied in chapter 3, results, analysis and discussions of the findings in chapter 4, a summary of findings, conclusions and suggestions in chapter 5, and bibliography and annexure sections.
This bibliography contains references to books, journals, and websites on the topics of investments and finance. It lists 3 books on investments and investment management, 3 journals focused on finance and behavioral finance, and 5 websites including stock exchanges and financial regulatory authorities in India that provide information on markets, companies and regulations.
This document examines the contribution of foreign institutional investment in the Indian stock market between March 2007 and February 2012. It finds that there is a positive correlation between foreign institutional investment inflows and the BSE Sensex and S&P CNX NIFTY indices, at 39% and 39.6% respectively. Foreign institutional investment was found to moderately affect both of these Indian stock market indices. The document also provides suggestions to simplify procedures and relax barriers for foreign investors to encourage more foreign investment in India.
This document contains the table of contents for a study analyzing the relationship between foreign institutional investor flows and the Indian stock market. The document outlines 5 chapters, including an introduction, literature review and research methodology, profile of the Indian stock market industry, analysis and results, and conclusions. It also lists 4 tables and 5 figures that will be included to analyze trends in FII registration numbers, investment patterns, and the correlation between FII flows and stock market indexes. The goal is to examine the impact of foreign portfolio investment on the Indian stock market.
The document provides examples and formulas for calculating simple interest. It defines key terms like principal, interest rate, and time period. It then shows 12 example problems worked out step-by-step that demonstrate how to use the simple interest formula to calculate interest, principal, rate, or time given other variables.
1) The document provides formulas and examples to calculate boat speeds upstream and downstream based on the boat's speed in still water and the speed of the river current.
2) It gives the formulas to calculate a boat's speed in still water and the river current's speed based on the boat's upstream and downstream speeds.
3) Several word problems are worked out using the formulas to find values like boat speed in still water and river current speed given upstream and downstream times or distances.
This document provides examples and formulas related to calculating time and speed for trains passing each other or other objects. It includes the following key points:
1. Formulas for converting between km/hr and m/s for train speed calculations.
2. Formulas for calculating the time it takes trains of different lengths to pass each other or stationary objects, depending on whether they are moving in the same or opposite directions.
3. Examples applying the formulas to calculate train speeds, lengths, and times to pass objects from information provided about relative speeds and times.
1. The document provides examples and formulas for calculating time, distance, and speed. It includes the formulas for calculating speed, time, and distance when two quantities are given.
2. Sample problems are given involving calculating speeds and distances traveled by people and vehicles using the time-distance formulas. Distances, speeds, and times taken to cover distances are calculated in the examples.
3. Thirteen example problems are shown with step-by-step solutions for calculating speeds, times, and distances from trains, cyclists, thieves, and more using the time-distance formulas.
The document provides information and examples about pipes and cisterns. It defines inlet and outlet pipes and provides formulas for calculating fill and empty rates of tanks based on multiple pipes. It then gives 7 example problems demonstrating how to use the formulas to calculate fill or empty times for tanks based on combinations of inlet, outlet, and leak pipes.
The document discusses the chain rule for proportions and provides examples of using it to solve problems involving direct and indirect proportions. It defines direct and indirect proportions and gives examples. It then shows how to set up and solve equations using the chain rule for 8 examples involving various directly and indirectly proportional relationships between quantities like cost, work, wages, length, time, and provisions.
The document provides examples and formulas for calculating profit/loss ratios in partnerships when investments are made for different periods of time. It gives 6 solved examples showing how to calculate each partner's share based on their investment amount and duration in the partnership. The key points are that profit/loss is shared in proportion to investment amounts, and investments for different times are converted to equivalent amounts for a standard time period like a year.
1. The document discusses ratio and proportion, providing important formulae and examples. It defines ratio, proportion, and key proportional terms like extremes, means, fourth proportional, and third proportional.
2. Several example problems are worked through, applying the concepts of ratio, proportion, and variation to divide amounts of money and quantities in given ratios.
3. One example problem involves a mixture with alcohol and water in a given ratio, and determining the quantity of alcohol when additional water is added and the new ratio is provided.
The document discusses key concepts related to profit and loss calculations. It defines cost price as the price at which an article is purchased and selling price as the price at which an article is sold. It states that if the selling price is greater than the cost price, there is a profit, and if it is less than the cost price, there is a loss. It provides formulas to calculate profit/loss percentage and selling price based on cost price and profit/loss percentage. It also includes solved examples applying these concepts and formulas to calculation problems.
The document provides important facts and formulas regarding percentage calculations. It begins by defining percentage as hundredths. It gives the formulas to express a percentage as a fraction or decimal, or to express a fraction or decimal as a percentage. It then provides formulas to calculate results involving population growth rates, depreciation rates, and increases or decreases in quantities. The document concludes with solved examples applying the percentage formulas and concepts.
1. Free GK Alerts- JOIN OnlineGK to 9870807070
20. ALLIGATION OR MIXTURE
IMPORTANT FACTS AND FORMULA
K
1. Alligation: It is the rule that 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 desired price.
2. Mean Price: The cost price of a unit quantity of the mixture is called the mean price.
eG
3. Rule of Alligation: If two ingredients are mixed, then
(Quantity of cheaper) = (C.P. of dearer) - (Mean price)
(Quantity of dearer) (Mean price) - (C.P. of cheaper)
We present as under:
C.P. of a unit quantity of cheaper C.P. of a unit quantity of dearer
(c)
(m)
in (d)
nl
eO
(d-m) (m-c)
(Cheaper quantity) : (Dearer quantity) = (d - m) : (m - c).
4. Suppose a container contains x units 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]units.
Th
.
SOLVED EXAMPLES
Ex. 1. In what ratio must 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 ?
Sol. By the rule of alligation, we have:
C.P. of 1 kg rice of 1st kind (in paise) C.P. of 1 kg rice of 2nd kind (in paise)
2. 930 1080 .
. Mean pnce
(in paise)
1000
K
80 70
:.' Required ratio = 80 : 70 = 8 : 7.
eG
Ex. 2. How much water must be added to 60 litres of milk at 1 ½ litres for Rs. 2
So as to have a mixture worth Rs.10 2/3 a litre ?
Sol. C.P. of 1 litre of milk = Rs. (20 x 2/3) = Rs. 40/3
c.p of 1 litre of milk c.p of 1 litre of milk
0
Mean price
in 3
Rs.40
nl
(Rs. 32 )
3
eO
(40/3-32/3)=8/3 (32/3-0)=32/3
Ratio of water and milk =8 : 32 = 8 : 32 = 1 : 4
3 3
[ ]
Quantity of water to be added to 60 litres of milk = 1/4 X 60 litres =15 litre
Th
Ex. 3. In what ratio must water be mixed with milk to gain 20 % by selling the mixture at cost
price?
Sol. Let C.P. of milk be Re. 1 per litre.
Then, S.P. of 1 litre of mixture = Re. 1.
Gain obtained = 20%.
[ ]
C.P. of 1 litre of mixture = Rs. (100/120)* 1 =Rs.5/6
3. By the rule of alligation, we have:
C.P. of 1 litre of water C.P. of1litre ofmilk
0 Re.1
K
(Re. 5/6)
eG
(1- (5/6))= 1/6 ((5/6)-0)=5/6
Ratio of water and milk = 1/6 : 5/6 =
in
Ex. 4. .How many kgs. of wheat costing Rs. 8 per kg must be mixed with 86 kg of rice costing Rs.
6.40 per kg so that 20% gain may be obtained by Belling the mixture at Rs. 7.20 per kg ?
Sol. S.P. of 1 kg mixture = Rs. 7.20,Gain = 20%.
[ ]
nl
C.P. of 1 kg mixture = Rs. (100/120)*7.20 =Rs. 6.
By the rule of alligation, we have:
C_P. of 1 kg wheat of 1st kind C.P. of 1 kg wheat of 2nd kind
(800p) . (540 p)
eO
Mean price
( 600 p)
Th
60 200
Wheat of 1st kind: Wheat of 2nd kind = 60 : 200 = 3 : 10.
Let x kg of wheat of 1st kind be mixed with 36 kg of wheat of 2nd kind.
Then, 3 : 10 = x : 36 or lOx = 3 * 36 or x = 10.8 kg.
4. Ex. 5. The milk and water in two vessels A and B are in the ratio 4 : 3 and 2: 3 respectively. In
what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C
containing half milk and half water?
Sol. Let the C.P. of milk be Re. 1 per litre
K
Milk in 1 litre mixture of A = 4/7litre; Milk in 1 litre mixture of B = 2/5 litre;
Milk in 1 litre mixture of C = ½ litre
C.P. of 1 litre mixture in A = Re .4/7; C.P. of 1 litre mixture in B = Re.2/5
Mean price = Re.1/2
eG
By the rule of alligation, we have:
C.P. of 1 litre mix. in A C.P. of 1 litre mix. in B
(4/7) (2/5)
(1/2)
in
nl
(1/10) (1/14)
Required ratio = 1/10 : 1/14 = 7 : 5
eO
Th