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      Question

      A and B entered into a business investing Rs. (x + 85)

      and Rs. (x – 65) respectively. After one year they invested Rs. 50 more and Rs. 250 more respectively. After 2 years, ratio of the profit shares of A to B is 15:14. Find the value of x.
      A 650 Correct Answer Incorrect Answer
      B 600 Correct Answer Incorrect Answer
      C 690 Correct Answer Incorrect Answer
      D 680 Correct Answer Incorrect Answer
      E 640 Correct Answer Incorrect Answer

      Solution

      Ratio of profit share of A to B = [x + 85 + x + 85 + 50]:[x – 65 + x – 65 + 250] = [2x + 220]:[2x + 120] According to question; (2x + 220)/(2x + 120) = 15/14 => 28x + 3080 = 30x + 1800 => 2x = 1280 => x = 640

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