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      Question

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

      invested by 'B' is (1/5)th 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 6 months, 4 months and 3 months, respectively, then find the ratio of profits received by 'A', 'B' and 'C' respectively.
      A 2:1:2 Correct Answer Incorrect Answer
      B 4:1:2 Correct Answer Incorrect Answer
      C 3:2:1 Correct Answer Incorrect Answer
      D 5:3:2 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. тАШ15xтАЩ Therefore, sum invested by тАШBтАЩ = (15x/5) = Rs. тАШ3xтАЩ Sum invested by тАШAтАЩ = (4/3) ├Ч 3x = Rs. тАШ4xтАЩ Sum invested by тАШCтАЩ = 15x тАУ (4x + 3x) = Rs. тАШ8xтАЩ Required ratio = (4x ├Ч 6):(3x ├Ч 4):(8x ├Ч 3)
      = 24x : 12x : 24x
      = 2 : 1 : 2

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