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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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