Question
'A', 'B' and 'C' started a business such that the sum invested by 'B' is (1/3)rd 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 12 months, 8 months and 6 months, respectively, then find the ratio of profits received by 'A', 'B' and 'C' respectively.
Solution
Let the total sum invested by 'A', 'B' and 'C' together be Rs. ‘9x’ Therefore, sum invested by ‘B’ = (9x/3) = Rs. ‘3x’ Sum invested by ‘A’ = (4/3) × 3x = Rs. ‘4x’ Sum invested by ‘C’ = 9x – (4x + 3x) = Rs. ‘2x’ Required ratio = (4x × 12):(3x × 8):(2x × 6)
= 48x : 24x : 12x
= 4 : 2 : 1
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