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    Question

    In a vessel, milk and water are present in the ratio 7:4.

    If 18 ml of the solution is removed and replaced with 12 ml of milk, the new milk to water ratio becomes 5:2. Find the original volume of the solution.
    A 19 ml Correct Answer Incorrect Answer
    B 30 ml Correct Answer Incorrect Answer
    C 62 ml Correct Answer Incorrect Answer
    D 15 ml Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let milk and water after removal = 7x ml and 4x ml.

    Milk after adding 12 ml = (7x + 12) ml

    ATQ,

    {(7x + 12) / 4x} = 5/2

    So, 14x + 24 = 20x

    So, 20x - 14x = 24

    So, 6x = 24

    So, x = 4

    So, total quantity = 7×4 + 4×4 + 18 = 28 + 16 + 18 = 62 ml

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