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    Question

    In a mixture, milk and water are in the ratio 2:3. When

    10 litres of milk and 6 litres of water are added, the ratio becomes 4:5. Find the initial quantity of the mixture.
    A 55 litres Correct Answer Incorrect Answer
    B 60 litres Correct Answer Incorrect Answer
    C 65 litres Correct Answer Incorrect Answer
    D 70 litres Correct Answer Incorrect Answer

    Solution

    Let the initial quantity of milk and water be '2y' and '3y' litres respectively.
    So, (2y + 10):(3y + 6) = 4:5
    Or, 5 × (2y + 10) = 4 × (3y + 6)
    Or, 10y + 50 = 12y + 24
    Or, 2y = 26
    Or, y = 13
    Therefore, required quantity = 2y + 3y = 5y = 5 × 13 = 65 litres

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