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      Question

      'P' started a business with Rs. 5,000. After 'n'

      months, 'Q' joined the business investing Rs. 5,000 more than 'P'. At the end of 20 months since 'P' started the business, ratio of profit share of 'P' to 'Q' was 5:3. Find the value of 'n'.
      A 6 Correct Answer Incorrect Answer
      B 8 Correct Answer Incorrect Answer
      C 10 Correct Answer Incorrect Answer
      D 12 Correct Answer Incorrect Answer
      E 14 Correct Answer Incorrect Answer

      Solution

      Ratio of profit share of 'P' to 'Q'
      = (5,000 × 20) : (10,000 × (20 − n))
      = 10 : (20 − n) So,
      10 : (20 − n) = 5 : 3 Or,
      10 × 3 = 5 × (20 − n) Or,
      30 = 100 − 5n Or,
      5n = 70 Or,
      n = 14

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