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      Question

      A and B invest in a business in the ratio of 2:3, B left

      the business after X months, C joins the business with twice investment as compared to that of B. C invests for 2 months more than as compared to B. After a year, C receives 5/9th share of total profit. Find the time for which B was there in the business
      A 10 Correct Answer Incorrect Answer
      B 12 Correct Answer Incorrect Answer
      C 7 Correct Answer Incorrect Answer
      D 8 Correct Answer Incorrect Answer
      E 6 Correct Answer Incorrect Answer

      Solution

      According to question: Ratio of investment of A, B and C = 2 ├Ч 12 : 3x : 6(x + 2) C receives 5/9th of total shares, means shares of C = 5 and that of A + B = 4 Therefore, => 6(x + 2)/(24 + 3x) = 5/4 => 24(x + 2) = 120 + 15x => 24x + 48 = 15x + 120 => 9x = 72 => x = 8

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