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      Question

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

      6000 and Rs. 9000, respectively. 4 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. 18,000, then find the profit share of ‘C’.
      A Rs. 10000 Correct Answer Incorrect Answer
      B Rs. 12000 Correct Answer Incorrect Answer
      C Rs. 15000 Correct Answer Incorrect Answer
      D Rs. 13000 Correct Answer Incorrect Answer
      E Rs. 15500 Correct Answer Incorrect Answer

      Solution

      ATQ; Amount invested by ‘C’ = [(6000 + 9000)/2] = Rs. 7500 Profit shares of ’A’, ‘B’ and ‘C’, respectively at the end of the year = [(6000 × 12): (9000 × 12) :(7500 × 8)] = 6:9:5 Let the total profit received by ‘A’, B’ and ‘C’ at the end of the year be Rs. ‘P’ Profit share of ‘B’ = 18000 = (9/20) × P => P = 18000 × (20/9) = 40000 Profit share of ‘C’ = 40000 × (5/20) = Rs. 10000

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