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    Question

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

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

    Solution

    ATQ; Amount invested by β€˜C’ = [(6000 + 9000)/2] = Rs. 7500 Profit shares of ’A’, β€˜B’ and β€˜C’, respectively at the end of the year = [(6000 Γ— 12): (9000 Γ— 12):(7500 Γ— 8)] = 6:9:5 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’ = 18000 = (9/20) Γ— P => P = 18000 Γ— (20/9) = 40000 Profit share of β€˜C’ = 40000 Γ— (5/20) = Rs. 10000

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