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    A, B and C entered into a business and invested in the ratio of 5 : 4 : 6 respectively. After four months, B and C left the business. At the end of a
    Question


    A, B and C entered into a business and invested in the ratio of 5 : 4 : 6 respectively. After four months, B and C left the business. At the end of a years, the total profit is Rs. 2500. Find the profit share of A.

    A.

    1000 Rs,

    B.

    1800 Rs.

    C.

    1200 Rs.

    D.

    1500 Rs.

    E.

    900 Rs.

    Correct option is D

    Given:

    Ratio of investment of A, B and C =  5 : 4 : 6

    The total profit = Rs. 2500​

    Formula Used:

    Profit=Investment×TimeProfit = Investment \times Time​​

    Explanation:

    Profit share ratio of A, B and C respectively
    = 5 ×12:4×4:6 ×4
    = 15 : 4 : 6
    So, profit share of A =2500×1515+4+6=Rs. 15002500 \times \frac{15}{15+4+6}=Rs. \ 1500

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