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      Question

      In a competitive exam, the passing percentage is 40%.

      Marks obtained by β€˜A’ is 10% less than passing marks, and β€˜B’ scores 20% marks less than A. What percent less (up to 2 decimal places) than the sum of A’s and B’s marks should C obtain to pass the exam at the borderline?
      A 38.27% Correct Answer Incorrect Answer
      B 20.25% Correct Answer Incorrect Answer
      C 65.55% Correct Answer Incorrect Answer
      D 42.86% Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the maximum marks = 100x

      Passing marks = 40x

      A’s score = (40x)(1 – 0.10) = 36x

      B’s score = (36x)(1 – 0.20) = 28.8x

      Sum of the scores of β€˜A’ and β€˜B’ = 36x + 28.8x = 64.8x

      Required percentage = {(64.8x – 40x)/64.8x} Γ— 100 = 38.27%

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