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    Question

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

    15000 and Rs. 12000, 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. 32,000, then find the profit share of β€˜C’.
    A Rs. 15000 Correct Answer Incorrect Answer
    B Rs. 17000 Correct Answer Incorrect Answer
    C Rs. 18000 Correct Answer Incorrect Answer
    D Rs. 17500 Correct Answer Incorrect Answer
    E Rs. 19500 Correct Answer Incorrect Answer

    Solution

    ATQ; Amount invested by β€˜C’ = [(15000 + 12000)/2] = Rs. 13500 Profit shares of ’A’, β€˜B’ and β€˜C’, respectively at the end of the year = [(15000 Γ— 12): (12000 Γ— 12):(13500 Γ— 6)] = 20:16:9 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’ = 32000 = (16/45) Γ— P => P = 32000 Γ— (45/16) = 90000 Profit share of β€˜C’ = 90000 Γ— (9/45) = Rs. 18000

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