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      Question

      In an examination, the passing percentage is 35%. 'P'

      scores 8% less than the passing marks, and 'Q' scores 25% less than 'P'. What percentage less (up to two decimal places) than the combined total of 'P' and 'Q's marks should 'R' score in order to pass the exam with the minimum required marks?
      A 37.88% Correct Answer Incorrect Answer
      B 32.45% Correct Answer Incorrect Answer
      C 41.26% Correct Answer Incorrect Answer
      D 34.42% Correct Answer Incorrect Answer

      Solution

      Let the maximum marks = 100x Passing marks = 35x P’s score = (35x)(1 – 0.08) = 32.2x Q’s score = (32.2)(1 – 0.25) = 24.15x Sum of the scores of ‘P’ and ‘Q’ = 24.15x + 32.2x = 56.35x Required percentage = {(56.35x – 35x)/56.35x} × 100 = 37.88%

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