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A container contains a mixture of milk and water in which water is 24%. If 50% of the mixture is taken out, and the quantity of water in it is 78 litres less than the quantity of milk, find the remaining quantity of milk in the container.

1. 171 lit
2. 152 lit
3. 133 lit
4. 108 lit

Correct answer: 171 lit

Solution

Since water is 24%, milk is 76% of the mixture. When 50% of the mixture is removed, the removed part has milk and water in the same ratio, so the difference between milk and water in the removed part is 52% of that removed quantity. That difference is given as 78 litres, which lets us find the total mixture and then the remaining milk.

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