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    Question

    In a mixture, the quantity of alcohol is 50% of the

    quantity of water. On removing 100 litres mixture and adding 50 litres each of alcohol and water, the quantity of alcohol becomes 40 litres less than that of water in the final mixture. Find the final quantity of water.
    A 134 Correct Answer Incorrect Answer
    B 130 Correct Answer Incorrect Answer
    C 123 Correct Answer Incorrect Answer
    D 170 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, After removal of 100 litres of mixture, Let the initial quantity of water be '100f' litres. Initial quantity of alcohol = 0.5 × 100f = '50f' litres. ATQ, 100f - 50f = 40 Or, 50f = 40 Or, 'f' = 40/50 = 0.8 Therefore, final quantity of water = 100f + 50 = 100 × 0.8 + 50 = 80 + 50 = 130 litres

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