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      Question

      β€˜R’ invested Rs. 4000 in a business. β€˜S’ joined

      x months later with an investment of Rs. 3000. If at the end of the year, S’s share in the profit is Rs. 2250 out of a total profit of Rs. 6750, find the value of x.
      A 4 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,
      (4000 Γ— 12) : {3000 Γ— (12 – x)} = (6750 – 2250) / 2250
      Or, 48000 : {3000(12 – x)} = 4500 / 2250
      Or, 48000 : {3000(12 – x)} = 2 : 1
      So, 48000 Γ— 1 = 2 Γ— 3000(12 – x)
      48000 = 6000(12 – x)
      48000 = 72000 – 6000x
      6000x = 72000 – 48000
      6000x = 24000
      x = 4 months

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