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    Question

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

    invested by 'B' is (1/6)th of the total sum invested by all of them together and (1/2) of the sum invested by 'A'. If 'A', 'B' and 'C' invested their sums for 6 months, 3 months and 4 months, respectively, then find the ratio of profits received by 'A', 'B' and 'C' respectively.
    A 4:1:4 Correct Answer Incorrect Answer
    B 6:3:2 Correct Answer Incorrect Answer
    C 8:3:6 Correct Answer Incorrect Answer
    D 12:3:8 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. ‘6x’ Therefore, sum invested by ‘B’ = (6x/6) = Rs. ‘x’ Sum invested by ‘A’ = 2 × x = Rs. ‘2x’ Sum invested by ‘C’ = 6x – (2x + x) = Rs. ‘3x’ Required ratio = (2x × 6):(x × 3):(3x × 4)
    = 12x : 3x : 12x
    = 4 : 1 : 4

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