Question
A and B started a retail store with initial investments
in the ratio 7:8 and their annual profits were in the ratio 3:4. If A invested the money for 9 months, then for how many months did B invest his money?ÂSolution
Suppose A invested Rs. 7x for 9 months and B invested 8x for y months then, ⇒  (7x × 9)/(8x × y) = 3/4 ⇒  y = (63x × 4)/(8x × 3) ⇒  y = 252x/24x ⇒  y = 10.5
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