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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 4:5. If A invested the money for 7 months, then for how many months did B invest his money? 

      A 10.5 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. 6x for 7 months and B invested 7x for y months then, ⇒  (6x × 7)/(7x × y) = 4/5 ⇒  y = (42x × 5)/(7x × 4) ⇒  y = 210x/28x ⇒  y = 7.5

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