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    Question

    In a mixture, milk and water are in the ratio 1:2. When

    1 litre of milk and 3 litres of water are added, the new ratio becomes 2:5. Find the initial quantity of the mixture.
    A 6 litres Correct Answer Incorrect Answer
    B 2 litres Correct Answer Incorrect Answer
    C 3 litres Correct Answer Incorrect Answer
    D 8 litres Correct Answer Incorrect Answer

    Solution

    Let the initial quantity of milk and water be 'y' and '2y' litres respectively.
    So, (y + 1):(2y + 3) = 2:5
    Or, 5 Ă— (y + 1) = 2 Ă— (2y + 3)
    Or, 5y + 5 = 4y + 6
    Or, y = 1
    Therefore, required quantity = 3y = 3 Ă— 1 = 3 litres

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