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    Question

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

    Marks obtained by ‘A’ is 10% less than passing marks, and ‘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 ‘A’ and ‘B’ = 36x + 28.8x = 64.8x

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

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