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    Question

    A and B started a retail store with initial investments

    in the ratio 5:6 and their annual profits were in the ratio 2:3. If A invested the money for 6 months, then for how many months did B invest his money? 
    A 10 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 7.5 Correct Answer Incorrect Answer
    D 6 Correct Answer Incorrect Answer
    E 7 Correct Answer Incorrect Answer

    Solution

    Suppose A invested Rs. 5x for 6 months and B invested 6x for y months then, ⇒  (5x × 6)/(6x × y) = 2/3 ⇒  y = (30x × 3)/(6x × 2) ⇒  y = 90x/12x ⇒  y = 7.5

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