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      Question

      ‘P’ invested Rs. 3000 in a business. ‘Q’ joined

      x months later with an investment of Rs. 2000. If at the end of the year, Q’s share in the profit is Rs. 2400 out of a total profit of Rs. 7200, find the value of x.
      A 5 Correct Answer Incorrect Answer
      B 2 Correct Answer Incorrect Answer
      C 7 Correct Answer Incorrect Answer
      D 3 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      According to the question,
      (3000 × 12) : {2000 × (12 – x)} = (7200 – 2400) / 2400
      Or, 36000 : {2000(12 – x)} = 4800 / 2400
      Or, 36000 : {2000(12 – x)} = 2 : 1
      So, 36000 × 1 = 2 × 2000(12 – x)
      36000 = 4000(12 – x)
      36000 = 48000 – 4000x
      4000x = 48000 – 36000
      4000x = 12000
      x = 3

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