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      Question

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

      2500 and Rs. 2000, respectively. 8 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. 16,000, then find the profit share of ‘C’.
      A Rs. 6000 Correct Answer Incorrect Answer
      B Rs. 5200 Correct Answer Incorrect Answer
      C Rs. 5300 Correct Answer Incorrect Answer
      D Rs. 5025 Correct Answer Incorrect Answer
      E Rs. 5875 Correct Answer Incorrect Answer

      Solution

      ATQ; Amount invested by ‘C’ = [(2500 + 2000)/2] = Rs. 2250 Profit shares of ’A’, ‘B’ and ‘C’, respectively at the end of the year = [(2500 × 12): (2000 × 12):(2250 × 4)] = 10:8:3 Let the total profit received by ‘A’, B’ and ‘C’ at the end of the year be Rs. ‘P’ Profit share of ‘B’ = 16000 = (8/21) × P => P = 16000 × (21/8) = 42000 Profit share of ‘C’ = 42000 × (3/21) = Rs. 6000

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