Quants Questions : Mixtures And Alligations Set 4

Hello Aspirants. Welcome to Online Quantitative Aptitude section in AffairsCloud.com. Here we are given some Mixture and Alligations problems that is important for competitive exams. We have included Some questions that are repeatedly asked in exams !!

1. 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%?
   A)1:2
   B)2:1
   C)1:1
   D)3:1
   
   Answer

   Answer – A)1:2
   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
   
   
   
2. 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?
   A)7:2
   B)5:2
   C)2:7
   D)1:7
   
   Answer

   Answer – A)7:2
   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
   
   
   
3. 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?
   A)3:2:4:6
   B)2:3:6:4
   C)1:5:3:6
   D)6:4:3:2
   
   Answer

   Answer – A)3:2:4:6
   Explanation :
   1^st pair: 50         95         2^nd pair:    60            90
                    80                                        80
             15        30                            10            20
   Final ratio 15:10:20:30
   
   
   
4. 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?
   A)1,4
   B)3,2
   C)4,1
   D)2,3
   
   Answer

   Answer – B)3,2
   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
   
   
   
5. 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?
   A)14 liters
   B)18 liters
   C)16 liters
   D)20 liters
   
   Answer

   Answer – C)16 liters
   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
   
   
   
6. 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?
   A)29.61 liters
   B)30.16 liters
   C)29.16 liters
   D)13.16 liters
   
   Answer

   Answer –C)29.16 liters
   Explanation :
   Amount of milk left after 3 operations
   40(1-4/40) ^3 liters
   
   
   
7. 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?
   A)1:15
   B)1:20
   C)1:12
   D)1:10
   
   Answer

   Answer – D)1:10
   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
   
   
   
8. If 50% of 2:3 solution of milk and water is replaced with water, then the concentration of the solution is reduced by
   A)25
   B)33
   C)50
   D)75
   
   Answer

   Answer – B)33
   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%
   
   
   
9. 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?
   A)25
   B)40
   C)35
   D)20
   
   Answer

   Answer – B)40
   Explanation :
   Milk =48    water =32
   48/(32+x) = 2/3
   
   
   
10. How much water must be added to 100cc of 80% solution of Boric acid to reduce it to a 50% solution?
    A)30
    B)40
    C)50
    D)60
    
    Answer

    Answer – D)60
    Explanation :50%(100+x)=80
    
    
    

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