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.Solution
Let the total sum invested by 'A', 'B' and 'C' together be Rs. β15xβ Therefore, sum invested by βBβ = (15x/5) = Rs. β3xβ Sum invested by βAβ = (4/3) Γ 3x = Rs. β4xβ Sum invested by βCβ = 15x β (4x + 3x) = Rs. β8xβ Required ratio = (4x Γ 6):(3x Γ 4):(8x Γ 3)
= 24x : 12x : 24x
= 2 : 1 : 2
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