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    Question

    A 120 litres solution of alcohol and water contains 30%

    alcohol. When Q litres of alcohol and (Q - 4) litres of water are added to the solution, the quantity of alcohol becomes 3/7 of the total solution. What is the value of (Q - 13)?
    A 53 Correct Answer Incorrect Answer
    B 47 Correct Answer Incorrect Answer
    C 71 Correct Answer Incorrect Answer
    D 83 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Quantity of alcohol in the initial solution = 0.30 ├Ч 120 = 36 litres Quantity of water in the initial solution = 120 - 36 = 84 litres ATQ: 36 + Q = (3/7) ├Ч (120 + Q + Q - 4) тЖТ 36 + Q = (3/7) ├Ч (120 + 2Q - 4) тЖТ 36 + Q = (3/7) ├Ч (116 + 2Q) тЖТ 7(36 + Q) = 3(116 + 2Q) тЖТ 252 + 7Q = 348 + 6Q тЖТ Q = 96 Required value = Q - 13 = 96 - 13 = 83

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