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      Question

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

      invested by 'B' is (2/7)th of the total sum invested by all of them together and equals (4/5)th of the sum invested by 'A'. If 'A', 'B' and 'C' invested their sums for 5 months, 4 months and 2 months, respectively, then find the ratio of profits received by 'A', 'B' and 'C' respectively.
      A 25:16:10 Correct Answer Incorrect Answer
      B 50:32:25 Correct Answer Incorrect Answer
      C 5:3:2 Correct Answer Incorrect Answer
      D 25:8:5 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. тАШ28xтАЩ Therefore, sum invested by тАШBтАЩ = (28x ├Ч 2/7) = Rs. тАШ8xтАЩ Sum invested by тАШAтАЩ = (5/4) ├Ч 8x = Rs. тАШ10xтАЩ Sum invested by тАШCтАЩ = 28x тАУ (10x + 8x) = Rs. тАШ10xтАЩ Required ratio = (10x ├Ч 5):(8x ├Ч 4):(10x ├Ч 2)
      = 50x : 32x : 20x
      = 25 : 16 : 10

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