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    Question

    A and B started a retail store with initial investments

    in the ratio 6:7 and their annual profits were in the ratio 3:4. If A invested the money for 7 months, then for how many months did B invest his money? 
    A 10 month Correct Answer Incorrect Answer
    B 8 month Correct Answer Incorrect Answer
    C 7.5 month Correct Answer Incorrect Answer
    D 6 month Correct Answer Incorrect Answer

    Solution

    Suppose A invested Rs. 6x for 7 months and B invested 7x for y months then, ⇒  (6x × 7)/(7x × y) = 3/4 ⇒  y = (42x × 4)/(7x × 3) ⇒  y = 168x/21x ⇒  y = 8

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