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    Question

    There are two mixtures, 'I' and 'J' of milk and water.

    Total quantity of mixture 'I' and mixture 'J' are 9 litres and 21 litres, respectively. Mixture 'I' contains 35% milk, while mixture 'J' contains 25% milk. Some amount of milk is added to mixture 'I', such that the percentage of quantity of milk in the resultant mixture becomes 50%. Same quantity of milk is also added to mixture 'J'. If both the resultant mixtures are mixed together, then find the total quantity of milk in the mixture.
    A 13.8 litres Correct Answer Incorrect Answer
    B 22.3 litres Correct Answer Incorrect Answer
    C 25.5 litres Correct Answer Incorrect Answer
    D 19.3 litres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ; Initial quantity of milk in mixture 'I' = 0.35 X 9 = 3.15 litres Initial quantity of water in mixture 'I' = 9 - 3.15 = 5.85 litres Let the quantity of milk added to the mixture be 'x' litres. Since the quantity of water in the final mixture of mixture 'I' remains the same. So, Quantity of water in the final mixture of mixture 'I' = 0.50 X (9 + x) = 5.85 Or, 9 + x = (5.85 / 0.50) Or, x = 11.7 - 9 So, x = 2.7 Quantity of milk in the resultant mixture of mixture 'I' = (3.15 + x) = 3.15 + 2.7 = 5.85 litres Initial quantity of milk in mixture 'J' = 0.25 X 21 = 5.25 litres Final quantity of milk in mixture 'J' = 5.25 + 2.7 = 7.95 litres Therefore, the quantity of milk when the final mixtures of mixture 'I' and mixture 'J' are added together = 5.85 + 7.95 = 13.8 litres

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