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      Question

      β€˜X’ invested Rs. 5000 in a business. β€˜Y’ joined

      x months later with an investment of Rs. 4000. If at the end of the year, Y’s share in the profit is Rs. 3000 out of a total profit of Rs. 9000, 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,
      (5000 Γ— 12) : {4000 Γ— (12 – x)} = (9000 – 3000) / 3000
      Or, 60000 : {4000(12 – x)} = 6000 / 3000
      Or, 60000 : {4000(12 – x)} = 2 : 1
      So, 60000 Γ— 1 = 2 Γ— 4000(12 – x)
      60000 = 8000(12 – x)
      60000 = 96000 – 8000x
      8000x = 96000 – 60000
      8000x = 36000
      x = 4.5 months

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