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      Question

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

      invested by 'B' is (1/3)rd of the total sum invested by all of them together and equals (3/4)th of the sum invested by 'A'. If 'A', 'B' and 'C' invested their sums for 12 months, 8 months and 6 months, respectively, then find the ratio of profits received by 'A', 'B' and 'C' respectively.
      A 4:2:1 Correct Answer Incorrect Answer
      B 8:4:3 Correct Answer Incorrect Answer
      C 3:2:1 Correct Answer Incorrect Answer
      D 6:3:2 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. ‘9x’ Therefore, sum invested by ‘B’ = (9x/3) = Rs. ‘3x’ Sum invested by ‘A’ = (4/3) × 3x = Rs. ‘4x’ Sum invested by ‘C’ = 9x – (4x + 3x) = Rs. ‘2x’ Required ratio = (4x × 12):(3x × 8):(2x × 6)
      = 48x : 24x : 12x
      = 4 : 2 : 1

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