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    Question

    Mixture ‘A’ initially has milk and water in a ratio

    of 5:9. After adding 11 liters of milk and 17 liters of water, the new ratio of milk to water becomes 4:7. Determine the initial quantity of water in mixture ‘A’.
    A 54 lit Correct Answer Incorrect Answer
    B 45 lit Correct Answer Incorrect Answer
    C 63 lit Correct Answer Incorrect Answer
    D 81 lit Correct Answer Incorrect Answer

    Solution

    Let, the quantity of milk and water in the initial mixture be ‘5x’ litres and ‘9x’ litres respectively.

    ATQ,

    (5x + 11)/(9x + 17) = 4/7

    Or, 35x + 77 = 36x + 68

    Or, x = 9

    So, quantity of water in the initial mixture ‘A’ = 9 × 9 = 81 litres

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