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      Question

      The marks obtained by A is 25% more than B, and the

      marks obtained by C is 122 more than the difference of the marks obtained by A and B. If C obtained 200 marks, then find the marks obtained by A.
      A 300 Correct Answer Incorrect Answer
      B 380 Correct Answer Incorrect Answer
      C 390 Correct Answer Incorrect Answer
      D 370 Correct Answer Incorrect Answer
      E 350 Correct Answer Incorrect Answer

      Solution

      Let the marks obtained by B be ‘x’. So, marks obtained by A = 1.25x According to question, (1.25x – x) + 122 = 200 0.25x = 200 - 122 0.25x = 78 x = 78/0.25 x = 312 Therefore, marks obtained by A = 1.25 × 312 = 390 marks

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