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    Question

    'A', 'B' and 'C' started a business such that the sum

    invested by 'B' is (1/5)th of the total sum invested by all of them together and equals (3/4)th of the sum invested by 'A'. If 'A', 'B' and 'C' invested their sums for 6 months, 4 months and 3 months, respectively, then find the ratio of profits received by 'A', 'B' and 'C' respectively.
    A 2:1:2 Correct Answer Incorrect Answer
    B 4:1:2 Correct Answer Incorrect Answer
    C 3:2:1 Correct Answer Incorrect Answer
    D 5:3:2 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total sum invested by 'A', 'B' and 'C' together be Rs. ‘15x’ Therefore, sum invested by ‘B’ = (15x/5) = Rs. ‘3x’ Sum invested by ‘A’ = (4/3) × 3x = Rs. ‘4x’ Sum invested by ‘C’ = 15x – (4x + 3x) = Rs. ‘8x’ Required ratio = (4x × 6):(3x × 4):(8x × 3)
    = 24x : 12x : 24x
    = 2 : 1 : 2

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