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      Question

      'A' initially invested 75% of the total capital in a

      business. After 4 months, 'C' joined, and at that point, 'A's investment became 50% of the total capital. If 'C's share of the total profit was Rs. 6,000, determine the combined profit share of 'A' and 'B'.
      A Rs. 24000 Correct Answer Incorrect Answer
      B Rs. 15000 Correct Answer Incorrect Answer
      C Rs. 18000 Correct Answer Incorrect Answer
      D Rs. 36000 Correct Answer Incorrect Answer
      E Rs. 10000 Correct Answer Incorrect Answer

      Solution

      Let, the sum invested by ‘A’ and ‘B’ together be 4x

      Therefore, sum invested by ‘A’ = 0.75 × 4x = Rs. 3x

      Sum invested by ‘B’ = Rs. x

      Total sum invested by ‘A’, ‘B’ and ‘C’ = 3x/0.5 = Rs. 6x

      Therefore, sum invested by ‘C’ = 6x – 3x – x = Rs. 2x

      Ratio of profit received by ‘A’, ‘B’ and ‘C’

      = (3x × 12):(x × 12):(2x × 8) = 9:3:4

      Therefore, profit share of ‘A’ and ‘B’, together = 6000 × (12/4) = Rs. 18000

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