Mixture & Alligation

JKSSB Panchayat Account Assistant · Mathematics · 31 practice questions with answers and explanations: 8 Easy, 11 Medium, 12 Hard.

Sample questions

Sample Easy question 1

In what ratio should water (free) be mixed with milk to gain 25% by selling the mixture at the cost price of milk?

  1. 1:3
  2. 1:4
  3. 1:5
  4. 1:6
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Answer: B. To gain 25% by diluting with free water, the required ratio of water to milk is 1:4.

Sample Medium question 2

In what ratio should tea worth Rs. 20/kg be mixed with tea worth Rs. 30/kg to get a mixture worth Rs. 24/kg?

  1. 2:3
  2. 3:2
  3. 1:2
  4. 4:5
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Answer: B. By alligation: (30-24):(24-20) = 6:4 = 3:2.

Sample Hard question 3

A jar has liquids A and B in the ratio 4:1. When 10 litres of the mixture is removed and replaced with liquid B, the ratio becomes 2:3. Find the initial quantity of liquid A.

  1. 12
  2. 14
  3. 16
  4. 18
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Answer: C. Solving with total = 5x litres gives x = 4, so the initial quantity of A (4x) was 16 litres.

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