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    Question

    55 litres of a solution contains alcohol and water in

    the ratio 2:3. Water is added in the solution. The new mixture has a ratio of alcohol and water as 1:5. Find the quantity of water added.
    A 87 litres Correct Answer Incorrect Answer
    B 77 litres Correct Answer Incorrect Answer
    C 97 litres Correct Answer Incorrect Answer
    D 67 litres Correct Answer Incorrect Answer

    Solution

    Let initial quantity of alcohol and water be 2x and 3x. ⇒  2x + 3x = 55 ⇒  5x = 55 ⇒  x = 11 Initial quantity of alcohol = 2x ⇒  22 litres Initial quantity of water = 3x ⇒  33 litres Let the water to be added be x litres. 22/(33 + x) = 1/5 ⇒  110 = 33 + x ⇒  77 = x Therefore, quantity of water added is 77 litres.

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