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Discussion :: Partnership

  1. Praveen, Sunny, and Ashu Bhati start a business. Twice the capital of Praveen is equal to thrice the capital of Sunny and Sunny's capital is four times Ashu Bhati's capital. Find the Sunny's share if the total profit earned is 297000.

    2. A.
    107000
    B.
    109000
    C.
    108000
    D.
    115000

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    Answer : Option C

    Explanation :

    Let Praveen's capital = A
    And, Sunny's capital = B
    And, Ashu Bhati's capital = C

    So, the ratio of their investment = A: B: C

    ATQ,
    A*2 = B*3
    i.e., A = 3B/2
    B = 4C
    Or, C = B/4

    Now put the values in terms of B.
    A: B: C = 3B/2: B: B/4
    A: B: C = 3/2: 1/1: ¼

    Take the LCM of the denominators and multiply with every fraction. The LCM of 2, 1, and 4 is 4.

    Then, A: B: C = (3*4)/2: (1*4)/1: (1*4)/4

    The profit ratio is A: B: C = 6: 4: 1

    The Total profit is 297000

    Apply formula:

    Sunny's share = (Sunny's ratio/ sum of all three ratios)* total profit
    Sunny's share = (4/11) * 297000 = 108000

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