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      Question

      Pooja and Priya started a business investing Rs. 3,600

      and Rs. 6,000 respectively. Priya left the business after a few months. At the end of the year, the profit was divided in the ratio 3:5. Calculate after how many months Priya withdrew.
      A 12 Correct Answer Incorrect Answer
      B 6 Correct Answer Incorrect Answer
      C 3 Correct Answer Incorrect Answer
      D 9 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the time Priya stayed in the business be 'n' months.

      Profit ratio = (3,600 × 12) : (6,000 × n) = 43,200 : 6,000n

      So, 43,200 : 6,000n = 3 : 5

      ⇒ 5 × 43,200 = 3 × 6,000n

      ⇒ 2,16,000 = 18,000n

      ⇒ n = 12

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