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Vessel A contains 40% milk and water, and vessel B contains apple juice and water. If the contents of vessels A and B are mixed in the ratio 2:3, and then 20 litres of milk are added to the final mixture, the ratio of milk, apple juice and water becomes 8:5:16. What is the quantity of apple juice in vessel B?

1. 20 litres
2. 25 litres
3. 30 litres
4. 40 litres

Correct answer: 25 litres

Solution

Let the mixed quantity from A and B be in the ratio 2:3. Since 20 litres of milk are added at the end, the final milk quantity is the original milk from A plus 20. Using the final ratio 8:5:16, the quantities can be matched to a common factor, which gives the apple juice in B as 25 litres.

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