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      Question

      ‘A’ and ‘B’ started a business by investing Rs.

      15000 and Rs. 12000, respectively. 6 months later, ‘C’ joined them with an investment equal to average of initial investment made by ‘A’ and ‘B’ together. If at the end of the year, B’s profit share out of the total profit was Rs. 32,000, then find the profit share of ‘C’.
      A Rs. 15000 Correct Answer Incorrect Answer
      B Rs. 17000 Correct Answer Incorrect Answer
      C Rs. 18000 Correct Answer Incorrect Answer
      D Rs. 17500 Correct Answer Incorrect Answer
      E Rs. 19500 Correct Answer Incorrect Answer

      Solution

      ATQ; Amount invested by ‘C’ = [(15000 + 12000)/2] = Rs. 13500 Profit shares of ’A’, ‘B’ and ‘C’, respectively at the end of the year = [(15000 × 12): (12000 × 12):(13500 × 6)] = 20:16:9 Let the total profit received by ‘A’, B’ and ‘C’ at the end of the year be Rs. ‘P’ Profit share of ‘B’ = 32000 = (16/45) × P => P = 32000 × (45/16) = 90000 Profit share of ‘C’ = 90000 × (9/45) = Rs. 18000

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