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    Question

    In a talent hunt exam, the passing marks are fixed at 55%.

    Marks obtained by ‘D’ are 7% less than passing marks, and ‘E’ scores 22% marks less than D. What percent less (up to 2 decimal places) than the sum of D’s and E’s marks should F obtain to pass the exam at the borderline?
    A 39.58% 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 = 55x

    D’s score = (55x)(1 – 0.07) = 51.15x

    E’s score = (51.15x)(1 – 0.22) = 39.89x

    Sum of the scores of ‘D’ and ‘E’ = 51.15x + 39.89x = 91.04x

    Required percentage = {(91.04x – 55x)/91.04x} × 100 = 39.58%

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