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A vessel contains 79.99 litres of a mixture of milk and water in which milk is 50% more than water. 20.03 litres of the mixture is taken out, and 59.99 litres of milk and water mixture is added to the remaining mixture in the vessel. If in the resultant mixture the milk becomes twice the water, then find the approximate quantity of water added.

1. 32
2. 44
3. 16
4. 30

Correct answer: 16

Solution

Initially, milk is 50% more than water, so the ratio is 3:2. After removing 20.03 litres, the remaining milk and water are in the same ratio. Adding 59.99 litres of a new mixture changes the composition so that milk becomes twice the water. Solving the resulting ratio equation gives approximately 16 litres of water added.

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