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Mixture and Alligation Test 6
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Mixture and Alligation Test 6
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  • Question 1/10
    1 / -0

    In what proportion must a grocer mix one kind of bajra at Rs.4.50 per kg with another at Rs.4 per kg in order that by selling the mixture at Rs.5.20 per kg he may make a profit of 20%?

    Solutions

    Explanation :

    Mean Price= C.P. of per kg mixture=100/120 ×5.20 = R.s 4.333

    By Allegation rule

    4                  4.5

    …….4.333………

    0.167       0.333

     

  • Question 2/10
    1 / -0

    Milk and water are mixed in the vessels A and B in the ratios 5:2 and 8:5 respectively. In what proportion should quantities be taken from the two vessels so as to form a mixture containing milk and water in the ratio 9:4?

    Solutions

    Explanation :

    In A C.P. of 1 liter milk Rs5/7 and that of B= Rs8/13, mixture= Rs9/13

    5/7        8/13

    ……9/13….

    1/13       2/91

     

  • Question 3/10
    1 / -0

    How must a shop owner mix 4 types of rice worth Rs95, Rs60, Rs90 and Rs50 per kg so that he can make the mixture of these rice worth Rs80 per kg?

    Solutions

    Explanation :

    1st pair: 50         95         2nd pair:    60            90
                     80                                        80
              15        30                            10            20

    Final ratio 15:10:20:30

     

  • Question 4/10
    1 / -0

    Two bottles A and B contain diluted sulphuric acid. In bottle A, the amount of water is double the amount of acid while in bottle B, the amount of acid is 3 times that of water. How much mixture should be taken from each bottle in order to prepare 5 liters diluted sulphuric acid containing equal amount of acid and water?

    Solutions

    Explanation :

    In bottle A ratio acid: water=1:2, B=3:1

    Mixture= 1:1, required acid=1/2

    1/3         3/4

    …….1/2…..

    1/4           1/6

     

  • Question 5/10
    1 / -0

    A jar contains a mixture of two liquids A and B in the ratio 4:1. When 10litres of the mixture is taken out and 10 liters of liquid B is poured into the jar, the ration becomes 2:3. How many liters of liquid A was contained in the jar?

    Solutions

    Explanation :

    % of B in the original mix= 1/5 * 100=20%

    In final mix= 3/5 *100=60%

    20           100

    …….60……..

    40           40

    Total mix= 10+10=20 liters so qty of A=20/5 *4

     

  • Question 6/10
    1 / -0

    A container contains 40 liters of the milk. From the container 4 liters of the milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

    Solutions

    Explanation :

    Amount of milk left after 3 operations

    40(1-4/40) ^3 liters

     

  • Question 7/10
    1 / -0

    A dairy man pays Rs.6.40 per liter of milk. He adds water and sells the mixture at Rs.8 per liter thereby making 37.5% profit. Find the ratio of the water to milk received by the customers?

    Solutions

    Explanation :

    Suppose milk x and water y liters

    Reqd. ratio of water and milk= y:x

    CP of x liters milk=Rs.6.4x

    SP of x liters milk=Rs.8(x+y)

    64=8(x+y)*100/137.5

    X:y=1:10

     

  • Question 8/10
    1 / -0

    If 50% of 2:3 solution of milk and water is replaced with water, then the concentration of the solution is reduced by

    Solutions

    Explanation :

    Milk    : water

    20          30

    -10        -15

    +25

    —-        —-

    10           40

    Concentration of solution reduced by 10 i.e. 50% and dilution increased by 40 i.e. 33.33%

     

  • Question 9/10
    1 / -0

    Milk and water are in the ratio of 3:2 in a mixture of 80 liters. How much water should be added so that the rate of milk and water become 2:3?

    Solutions

    Explanation :

    Milk =48    water =32

    48/(32+x) = 2/3

     

  • Question 10/10
    1 / -0

    How much water must be added to 100cc of 80% solution of Boric acid to reduce it to a 50% solution?

    Solutions

    Explanation :50%(100+x)=80

     

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