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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 3:4. If A invested the money for 9 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 9 months and B invested 6x for y months then, ⇒  (5x × 9)/(6x × y) = 3/4 ⇒  y = (45x × 4)/(6x × 3) ⇒  y = 180x/18x ⇒  y = 10

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