Mixtures & Alligation · Question 10 · Medium

Mixtures & Alligation question 10

A vessel is full of a mixture of milk and water in the ratio 5 : 3. What fraction of the mixture must be drawn off and replaced with water so that the vessel contains equal amounts of milk and water?

  1. 1/4
  2. 1/3
  3. 1/5
  4. 1/6
Answer and explanation

Answer: C. 1/5

Explanation: Milk is 5/8 of the vessel and must become 1/2. If a fraction f is replaced, 5/8 × (1 − f) = 1/2, so 1 − f = 4/5 and f = 1/5.

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