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      Question

      A and B entered into a business investing Rs. (x + 75)

      and Rs. (x – 55) respectively. After one year they invested Rs. 120 more and Rs. 200 more respectively. After 2 years, ratio of the profit shares of A to B is 7:6. Find the value of x.
      A 495 Correct Answer Incorrect Answer
      B 490 Correct Answer Incorrect Answer
      C 435 Correct Answer Incorrect Answer
      D 455 Correct Answer Incorrect Answer
      E 475 Correct Answer Incorrect Answer

      Solution

      Ratio of profit share of A to B = [x + 75 + x + 75 + 120]:[x – 55 + x – 55 + 200] = [2x + 270]:[2x + 90] According to question; (2x + 270)/(2x + 90) = 7/6 => 12x + 1620 = 14x + 630 => 2x = 990 => x = 495

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