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    A, Band C start a business jointly. Twice the capital of A is equal to thrice the capital of B. The capital of B is four times the capital of C. Find
    Question

    A, Band C start a business jointly. Twice the capital of A is equal to thrice the capital of B. The capital of B is four times the capital of C. Find the share of B if the annual profit is Rs. 2,97,000.

    A.

    Rs. 1,08,800

    B.

    Rs. 10,800

    C.

    Rs. 1,08,000

    D.

    Rs. 18,000

    Correct option is C

    Given:

    the annual profit is Rs. 2,97,000.

    Twice the capital of A is equal to thrice the capital of B

    The capital of B is four times the capital of C.

    Solution:

    let capital of A =A

    let capital of B=B

    let capital of C=A

    condition 1

    Twice the capital of A is equal to thrice the capital of B

    2A=3B

    A:B =3:2

    Condition 2

    The capital of B is four times the capital of C.

    B=4C

    B:C = 4:1

    A:B:C = 6:4:1

    total A+B+C =11 = RS2,97,000.

    profit of B =RS2,97,000.×411\frac{RS2,97,000.\times4}{11}

    Rs 108000

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