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      Question

      Two individuals, Karan and Arjun, invested in a business. Karan invested Rs. (x + 250) for 9 months, while Arjun invested Rs. (x – 450) for 6 months. If Arjun’s profit share was Rs. 3600 out of a total profit of Rs. 9000, determine the value of
      x.

      A 1650 Correct Answer Incorrect Answer
      B 1042 Correct Answer Incorrect Answer
      C 1199 Correct Answer Incorrect Answer
      D 1055 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Karan’s share = 9000 – 3600 = Rs. 5400

      So, {(x + 250) × 9}:{(x – 450) × 6} = 5400:3600

      Or, 27(x + 250) = 18(x – 450)

      Or, 27x + 6750 = 18x – 8100

      Or, 9x = 14850

      Or, x = 1650

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