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      Question

      'A', 'B' and 'C' started a business such that the sum

      invested by 'B' is (1/4)th of the total sum invested by all of them together and (1/2) of the sum invested by 'A'. If 'A', 'B' and 'C' invested their sums for 9 months, 6 months and 3 months, respectively, then find the ratio of profits received by 'A', 'B' and 'C' respectively.
      A 6:2:1 Correct Answer Incorrect Answer
      B 6:3:1 Correct Answer Incorrect Answer
      C 4:2:1 Correct Answer Incorrect Answer
      D 3:2:1 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the total sum invested by 'A', 'B' and 'C' together be Rs. ‘4x’ Therefore, sum invested by ‘B’ = (4x/4) = Rs. ‘x’ Sum invested by ‘A’ = 2 × x = Rs. ‘2x’ Sum invested by ‘C’ = 4x – (2x + x) = Rs. ‘x’ Required ratio = (2x × 9):(x × 6):(x × 3)
      = 18x : 6x : 3x
      = 6 : 2 : 1

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