Question
A vessel contains 64 litres of pure milk. 16 litres of
milk is taken out and replaced by water. Again, 16 litres of the mixture is taken out and replaced by water. What is the ratio of milk to water in the final mixture?Solution
Equivalent milk left after 2 operations: Milk = 64 × (1 − 16/64)² = 64 × (3/4)² = 64 × 9/16 = 36 L Total = 64 L → Water = 64 − 36 = 28 L Ratio milk : water = 36 : 28 = 9 : 7.
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