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      Question

      Anuj and Bheem began a business by investing Rs. Z and

      Rs. (Z + 2,500), respectively. After operating together for 16 months, Anuj withdrew from the business. At the end of 28 months, the total profit earned was Rs. 2,322, out of which Anuj's share was Rs. 516. Determine the value of Z.
      A 3500 Correct Answer Incorrect Answer
      B 3000 Correct Answer Incorrect Answer
      C 2000 Correct Answer Incorrect Answer
      D 1500 Correct Answer Incorrect Answer
      E 2500 Correct Answer Incorrect Answer

      Solution

      Ratio of profit shares of Anuj and Bheem, respectively, at the end of 28 months, = {Z X 16}:{(Z + 2,500) X 28} = (4Z) :(7Z + 17,500) ATQ, 4Z/(4Z + 7Z + 17500) = 516/2322 Or, 4Z Ă· (11Z + 17,500) = (2/9) Or, 36Z = 2 X (11Z + 17,500) Or, 36Z = 22Z + 35,000 Or, 14Z = 35,000 So, 'Z' = 2,500

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