Quantitative Aptitude: Mixture and Alligation Questions Set 5

Mixture and Alligation concept Aptitude Question Shortcut Tricks for NICL, IBPS RRB. SBI PO, IBPS PO, RBI Grade B, Dena Bank PO PGDBF, BOI, Bank of Baroda and other competitive exams

1. The ratio of A & B in a mixture is 8:1, 15ltr of mixture is taken out and same amount of B is added, now ratio become 4:3. Find the initial amount of A in the mixture (approx)?
   A) 24
   B) 37
   C) 34
   D) 40
   E) 28
   
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   Option B
   Solution:
   initial …………A : B
   .                      8 : 1 →(1)
   Find                4 : 3 →(2)
   Make value of A same, multiply by 2 in equation (2)
   A : B
   8 : 1
   8 : 6 (+5)
   5 = 15
   1=3
   8+6=14 =42
   So initial = 8/9 *42 = 37.33
2. A shopkeeper sells his milk at cost price but he add some water and earn 16(2/3)% profit. Find the ratio of milk and water?
   A) 6:1
   B) 1:6
   C) 5:1
   D) 1:5
   E) 5:6
   
   View Answer

   Option A
   Solution:
   In this case we will let milk 100 and water profit
   Milk : Water
   100 : 16(2/3)%
   6 : 1
3. There is 70ltr milk in a container. From this 7ltr of milk is taken out and added some quantity of water. This process is repeated two more times. Find the remaining milk in container?
   A) 45ltr
   B) 48.03ltr
   C) 50ltr
   D) 51.03ltr
   E) 56.22ltr
   
   View Answer

   Option D
   Solution:
   7/70 =1/10,  Remaining =9/10
   (9/10)^T * Total = Milk
   (9/10)³ * 70 = 51.03 ltr
4. A man has to distribute Rs65 in a class of 50 students. He gives 1.5 rupee to boys and 1 rupee to girls each. Find how many girls are there in the class?
   A) 30
   B) 20
   C) 15
   D) 25
   E) 22
   
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   Option B
   Solution:
   Mean price = 6500/50 = 130 paisa
   Boys………..Girls
   150………….100
   .         130
   30…………….20
   3 : 2
   2/ 5* 50 = 20
5. In an alloy the ratio of copper and aluminum is 4:5 and in other alloy the ratio of copper and aluminum is 6:7. In what ratio these alloy should be taken to make ratio of copper and aluminum is 5:6?
   A) 5 : 11
   B) 11 : 5
   C) 13 : 9
   D) 9 : 13
   E) 12 : 7
   
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   Option D
   Solution:
   C………………..A
   4/9……………6/13
   .         5/11
   1/143………….1/99
   9 : 13
6. In a bag there are three types of coins, 1rupee, 50 paisa and 25paisa in the ratio of 5:10:24. There total value is Rs208. The total number of coins is?
   A) 507
   B) 208
   C) 961
   D) 744
   E) 602
   
   View Answer

   Option A
   Solution:
   first make ratio according to rupee
   5 : 10/2 : 24/4
   5 : 5 : 6
   16 =208
   1 =13
   (5+10+24) = 39 = 39*13 = 507
7. 400gm of sugar solution has 30% sugar in it. How much sugar should be added to make it 50% in the solution (in gm)?
   A) 120
   B) 60
   C) 100
   D) 160
   E) 180
   
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   Option D
   Solution:
   30% of 400 =120
   Remaining =280, this will remain same in another solution but now it will become 50%. So
   50% = 280
   100% = 560
   Difference = 560-400 = 160
8. A mixture of certain quantity of milk with 15ltr of water is sold at 80paisa/ltr. If pure milk be worth Rs1.10 per ltr. How much milk is there in the mixture?
   A) 50 ltr
   B) 40 ltr
   C) 60 ltr
   D) 70 ltr
   E) 30 ltr
   
   View Answer

   Option B
   Solution:
   Milk……..Water
   110………….0
   .        80
   80………….30
   8 : 3 
   3 = 15, so 8 = 40
9. A merchant borrowed Rs3500 from two money lenders. For one loan he paid 14% p.a and for other 18% p.a. the interest paid for one year was Rs525. How much did he borrow at 18%p.a?
   A) Rs875
   B) Rs625
   C) Rs750
   D) Rs1000
   E) Rs925
   
   View Answer

   Option A
   Solution:
   525/3500 * 100 = 15%
   14………….18
   .        15
   3……………..1
   1/4 * 3500 = 875
10. How many kg of salt at42 paisa per kg must a man mix with 25kg of salt at 24 paisa per kg, so that he may on selling the mixture at 40 paisa per kg, gain 25% on the outlay?
    A) 15kg
    B) 20kg
    C) 25kg
    D) 30kg
    E) 18kg
    
    View Answer

    Option B
    Solution:
    25% =1/4
    CP……….SP
    4………….. 5
    4 = 32, 5 = 40
    42…………24
    .        32
    8…………..10
    4 : 5→*5= 25kg
    So 4 * 5 = 20

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