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CAT 2018 Slot 1 · Quant · Mixtures and Alligation · easy

How many litres of water must be added to make the ratio of milk to water 3 : 2?

Single correct option

A vessel contains 60 litres of a mixture of milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio of milk to water 3 : 2?
  1. A. 12
  2. B. 15
  3. C. 8
  4. D. 10
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Answer: (D) 10

Milk = 7/10 × 60 = 42 L and water = 18 L. Adding water leaves the amount of milk unchanged.

In the new mixture milk : water = 3 : 2, so water = 42 × 2/3 = 28 L.

Water to add = 28 − 18 = 10 litres.

Tip: Always anchor on the component that does not change (here, milk) and scale the ratio to it.
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Original question written in the CAT 2018 Slot 1 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake