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      Question

      A and B entered into a business investing Rs. (x + 45)

      and Rs. (x – 55) respectively. After one year they invested Rs. 70 more and Rs. 140 more respectively. After 2 years, ratio of the profit shares of A to B is 6:5. Find the value of x.
      A 310 Correct Answer Incorrect Answer
      B 300 Correct Answer Incorrect Answer
      C 315 Correct Answer Incorrect Answer
      D 320 Correct Answer Incorrect Answer
      E 330 Correct Answer Incorrect Answer

      Solution

      Ratio of profit share of A to B = [x + 45 + x + 45 + 70]:[x – 55 + x – 55 + 140] = [2x + 160]:[2x + 30] According to question; (2x + 160)/(2x + 30) = 6/5 => 10x + 800 = 12x + 180 => 2x = 620 => x = 310

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