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    Question

    In a mixture of milk and water, the quantity of water is

    40 litres more than that of milk. When 100 litres of milk is added to the mixture, then the quantity of water becomes 50% less than that of milk. Find the initial quantity of the mixture.
    A 80 Correct Answer Incorrect Answer
    B 65 Correct Answer Incorrect Answer
    C 75 Correct Answer Incorrect Answer
    D 50 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the initial quantity of milk be ‘x’ litres. Therefore, initial quantity of water = (x + 40) litres. According to the question, (x + 40) = 0.5(x + 100) Solving, (x + 40) = 0.5x + 50 0.5x = 10 x = 20 Therefore, initial quantity of mixture = (x + x + 40) = (20 + 20 + 40) = 80 litres.

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