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    Question

    In a tank, the ratio of juice to soda is 4:9. 72 liters of

    the mixture is drawn out and replaced with 30 liters of soda. If the ratio of juice to soda becomes 2:5, then find the initial quantity of juice in the tank.
    A 25 liters Correct Answer Incorrect Answer
    B 45 liters Correct Answer Incorrect Answer
    C 56 liters Correct Answer Incorrect Answer
    D 20 liters Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let, initial quantity of juice and soda be ‘4a’ and ‘9a’ respectively.

    So, (4a – 16)/(9a – 56 + 30) = 2/5

    (4a – 16)/(9a – 26) = 2/5

    20a – 80 = 18a – 52

    2a = 28, a = 14

    So, initial quantity of juice = 4a = 56 liters


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