A vessel contains 120 litres of a mixture of milk and water in the ratio 2:1. Thirty litres of the mixture is taken out from the vessel, and 10 litres of pure milk is added to the remaining mixture. Find the ratio of milk to water in the resultant mixture.

Correct answer: 7:3

Solution

Initially, milk = 80 L and water = 40 L. Removing 30 L of the 2:1 mixture removes 20 L milk and 10 L water, leaving 60 L milk and 30 L water. Adding 10 L milk makes the final ratio 70:30 = 7:3.

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