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    Question

    A and B started a retail store with initial investments

    in the ratio 9:10 and their annual profits were in the ratio 3:4. If A invested the money for 5 months, then for how many months did B invest his money? 
    A 5 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 7.5 Correct Answer Incorrect Answer
    D 6 Correct Answer Incorrect Answer

    Solution

    Suppose A invested Rs. 9x for 5 months and B invested 10x for y months then, ⇒  (9x × 5)/(10x × y) = 3/4 ⇒  y = (45x × 4)/(10x × 3) ⇒  y = 180x/30x ⇒  y = 6

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