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A vessel contains 150 litres of a milk-water mixture in which water is 40%. If x litres of the mixture is taken out, and the quantity of water in x litres is 12 litres, and then poured into vessel B which already contains x litres of water, find the difference between the quantities of milk and water in the resultant mixture of vessel B.

1. 12
2. 30
3. 16
4. 24

Correct answer: 24

Solution

Since water is 40% of the mixture, 12 litres of water corresponds to 30 litres of mixture. So the removed mixture contains 18 litres milk and 12 litres water. Vessel B already has 30 litres water, so after adding the removed mixture it has 18 litres milk and 42 litres water; the difference is 24 litres.

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