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    A, B and C invested a sum in the ratio of 8 : 36 : 76, respectively. If they earned a total profit of Rs. 3,030 at the end of the year, what is the di
    Question

    A, B and C invested a sum in the ratio of 8 : 36 : 76, respectively. If they earned a total profit of Rs. 3,030 at the end of the year, what is the difference between the shares of B and C?

    A.

    Rs. 1,051

    B.

    Rs. 1,010

    C.

    Rs. 1,046

    D.

    Rs. 993

    Correct option is B

    Given:

    Investment ratio of A : B : C = 8 : 36 : 76

    Total profit = Rs. 3,030

    Find the difference between the profit shares of B and C.

    Concept Used:

    Profit is divided in the ratio of investment.

    Solution:

    Total ratio = 8 + 36 + 76 = 120

    Share of B: 36120×3030=36×25.25=909\frac{36}{120} \times 3030 = 36 \times 25.25 = 909​​

    Share of C: 76120×3030=76×25.25=1919\frac{76}{120} \times 3030 = 76 \times 25.25 = 1919​​

    Difference = 1919 - 909 = Rs. 1010

    Alternate Solution(Exam trick): 

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