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    Question

    In an internal assessment, the minimum passing percentage

    is 45%. Marks scored by ‘M’ are 15% less than passing marks, and ‘N’ scores 18% marks less than M. What percent less (up to 2 decimal places) than the sum of M’s and N’s marks should O obtain to pass the exam at the borderline?
    A 38.27% Correct Answer Incorrect Answer
    B 20.25% Correct Answer Incorrect Answer
    C 35.33% Correct Answer Incorrect Answer
    D 42.86% Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the maximum marks = 100x

    Passing marks = 45x

    M’s score = (45x)(1 – 0.15) = 38.25x

    N’s score = (38.25x)(1 – 0.18) = 31.36x

    Sum of the scores of ‘M’ and ‘N’ = 38.25x + 31.36x = 69.61x

    Required percentage = {(69.61x – 45x)/69.61x} × 100 = 35.33%

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