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    Question

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

    4000 and Rs. 8000, respectively. 8 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. 24,000, then find the profit share of β€˜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 β€˜C’ = [(4000 + 8000)/2] = Rs. 6000 Profit shares of ’A’, β€˜B’ and β€˜C’, respectively at the end of the year = [(4000 Γ— 12): (8000 Γ— 12):(6000 Γ— 4)] = 2:4:1 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’ = 24000 = (4/7) Γ— P => P = 24000 Γ— (7/4) = 42000 Profit share of β€˜C’ = 42000 Γ— (1/7) = Rs. 6000

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