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The following question is accompanied by two statements (I) and (II). You have to determine which statement(s) is/are sufficient/necessary to answer the questions. How many litres of water should be mixed in a mixture of milk and water to maintain 25% water in the final mixture? Statement I∶ Initially the mixture contains 90% milk. Statement II∶ Final quantity of water in the mixture is 21 litres.

The following question is accompanied by two statements (I) and (II). You have to determine which statement(s) is/are sufficient/necessary to answer the questions. How many litres of water should be mixed in a mixture of milk and water to maintain 25% water in the final mixture? Statement I∶ Initially the mixture contains 90% milk. Statement II∶ Final quantity of water in the mixture is 21 litres. Correct Answer Statement I and statement II together are required to answer the question.

Statement II∶ 

Final quantity of water in the mixture is 21 litres.

Given that there should be 25% water in the final mixture;

∴ (Total quantity of final mixture) = 21/0.25 = 84 litres

∴ Quantity of milk in final mixture = 84 × 0.75 = 63 litres

Since the quantity of milk remains the same;

∴ Quantity of milk in the initial mixture = 63 litres

Statement I∶ 

Initially, the mixture contains 90% milk.

∴ Initial quantity of mixture = 63/0.9 = 70 litres

∴ Quantity of water that should be mixed to make 25% water in the final mixture = 84 – 70 = 14 litres

∴ Statement I and statement II together are required to answer the question.

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