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      Question

      Amit and Ben started a partnership by investing Rs.3600

      and Rs.4500, respectively. Amit's investment period is 'x' months, while Ben's investment period is '(x + 3)' months. The combined profit earned by them is Rs.4100. Additionally, one-third of the difference between Amit's and Ben's profit shares is Rs.300. If Amit's share of the profit is less than Ben's, determine the duration of Ben's investment period.
      A 10 Correct Answer Incorrect Answer
      B 12 Correct Answer Incorrect Answer
      C 15 Correct Answer Incorrect Answer
      D 08 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Difference between the profit obtained by Amit and Ben = 300 × 3 = Rs.900 Profit obtained by Amit = (4100 – 900)/2 = 3200/2 = Rs.1600 Profit obtained by Ben = 4100 – 1600 = Rs.2500 (3600 × x)/(4500 × (x + 3)) = 16/25 4x/(5 × (x + 3)) = 16/25 x/(x + 3) = 4/5 5x = 4x + 12 x = 12 months Therefore, the Investment period of Ben will be  = 12 + 3 = 15 months

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