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    Question

    A sum of money is shared in the ratio of 2:3:5. The

    smallest share is divided again in the ratio of 1:3. What fraction of the total sum of money is the larger of the two latter shares?
    A 3/4 Correct Answer Incorrect Answer
    B 3/20 Correct Answer Incorrect Answer
    C 1/12 Correct Answer Incorrect Answer
    D 1/5 Correct Answer Incorrect Answer

    Solution

    Let the sum of money = x Rs
    Ratio of shares = 2 : 3 : 5
    Smallest share = 2x/2 + 3 + 5 = 1/5 x
    1/5x is now divided in the ratio of 1:3
    The biggest part = 3/4 × 1/5 = 3/20 of total sum of money.

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