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    Question

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

    invested by 'B' is (2/7)th of the total sum invested by all of them together and equals (4/5)th of the sum invested by 'A'. If 'A', 'B' and 'C' invested their sums for 5 months, 4 months and 2 months, respectively, then find the ratio of profits received by 'A', 'B' and 'C' respectively.
    A 25:16:10 Correct Answer Incorrect Answer
    B 50:32:25 Correct Answer Incorrect Answer
    C 5:3:2 Correct Answer Incorrect Answer
    D 25:8:5 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. ‘28x’ Therefore, sum invested by ‘B’ = (28x × 2/7) = Rs. ‘8x’ Sum invested by ‘A’ = (5/4) × 8x = Rs. ‘10x’ Sum invested by ‘C’ = 28x – (10x + 8x) = Rs. ‘10x’ Required ratio = (10x × 5):(8x × 4):(10x × 2)
    = 50x : 32x : 20x
    = 25 : 16 : 10

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