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    Question

    The ratio of milk and water in a mixture is 4:3

    respectively. When 8 litres of milk and 10 litres of water are added to the mixture, the ratio becomes 6:5 respectively. Find the initial quantity of the mixture.
    A 60 litres Correct Answer Incorrect Answer
    B 65 litres Correct Answer Incorrect Answer
    C 70 litres Correct Answer Incorrect Answer
    D 75 litres Correct Answer Incorrect Answer
    E 80 litres Correct Answer Incorrect Answer

    Solution

    Let the initial quantity of milk and water be '4y' and '3y' litres respectively.
    So, (4y + 8):(3y + 10) = 6:5
    Or, 5 × (4y + 8) = 6 × (3y + 10)
    Or, 20y + 40 = 18y + 60
    Or, 2y = 20
    Or, y = 10
    Therefore, required quantity = 4y + 3y = 7y = 7 × 10 = 70 litres

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