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      Question

      A, B and C did certain investments and the ratio of

      their time periods is 3 : 2 : 7 respectively. Ratio of the profits of A, B and C is 4 : 3 : 14 respectively. What is the ratio of the investments of A, B and C?
      A 1:3:4 Correct Answer Incorrect Answer
      B 7:9:11 Correct Answer Incorrect Answer
      C 8:9:12 Correct Answer Incorrect Answer
      D 2:3:11 Correct Answer Incorrect Answer

      Solution

      Let time periods investments be T1, T2, T3 The ratio of investments is A, B, and C = 3: 2:  7  The profits in the ratio = 4: 3: 14 Time period T1, T2, T3 = p1/x1: p2/x2: p3/x3 ⇒ T1,T2, and T3 = 4/3, 3/2, 14/7 ⇒ T1 ∶ T2 ∶ T3 = 8 ∶ 9 ∶ 12  ∴ Ratio of investment is 8 ∶ 9 ∶ 12.

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