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    Question

    A mixture of milk and water contains 30% water. On

    adding 18 litres of water, the quantity of milk becomes 50% more than that of water. Find the initial quantity of water in the mixture.
    A 20.9 Correct Answer Incorrect Answer
    B 32.4 Correct Answer Incorrect Answer
    C 50.5 Correct Answer Incorrect Answer
    D 45.5 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the total quantity of mixture initially be '100y' litres. Quantity of water = 0.3 × 100y = '30y' litres. Quantity of milk = 100y - 30y = '70y' litres. ATQ: 70y=1.5×(30y+18) 70y=45y+27 25y=27 y=27/25 = 1.08  Therefore, initial quantity of water = 30 × 1.08 = 32.4 litres.

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