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    Question

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

    12000 and Rs. 18000, respectively. 6 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. 12,000, then find the profit share of β€˜C’.
    A Rs. 5000 Correct Answer Incorrect Answer
    B Rs. 1000 Correct Answer Incorrect Answer
    C Rs. 5500 Correct Answer Incorrect Answer
    D Rs. 5100 Correct Answer Incorrect Answer
    E Rs. 5503 Correct Answer Incorrect Answer

    Solution

    ATQ; Amount invested by β€˜C’ = [(12000 + 18000)/2] = Rs. 15000 Profit shares of ’A’, β€˜B’ and β€˜C’, respectively at the end of the year = [(12000 Γ— 12): (18000 Γ— 12):(15000 Γ— 6)] = 8:12:5 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’ = 12000 = (12/25) Γ— P => P = 12000 Γ— (25/12) = 25000 Profit share of β€˜C’ = 25000 Γ— (5/25) = Rs. 5000

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