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      Question

      β€˜A’ and β€˜B’ started a business by investing Rs.

      2500 and Rs. 3000, respectively. 4 months later, β€˜C’ joined them with an investment equal to average of initial investment made by β€˜A’ and β€˜B’ together. If at the end of the year, B’s profit share out of the total profit was Rs. 54,000, then find the profit share of β€˜C’.
      A Rs. 6000 Correct Answer Incorrect Answer
      B Rs. 22000 Correct Answer Incorrect Answer
      C Rs. 33000 Correct Answer Incorrect Answer
      D Rs. 20250 Correct Answer Incorrect Answer
      E Rs. 18750 Correct Answer Incorrect Answer

      Solution

      ATQ; Amount invested by β€˜C’ = [(2500 + 3000)/2] = Rs. 2750 Profit shares of ’A’, β€˜B’ and β€˜C’, respectively at the end of the year = [(2500 Γ— 12): (3000 Γ— 12):(2750 Γ— 8)] = 15:18:11 Let the total profit received by β€˜A’, B’ and β€˜C’ at the end of the year be Rs. β€˜P’ Profit share of β€˜B’ = 54000 = (18/44) Γ— P => P = 54000 Γ— (44/18) = 132000 Profit share of β€˜C’ = 132000 Γ— (11/44) = Rs. 33000

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