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    Question

    In an entrance test, Sneha scored 41% and was 17 marks

    below the passing level, while Rohan scored 49% and obtained 7 marks more than the passing marks. Determine the passing marks.
    A 152 Correct Answer Incorrect Answer
    B 130 Correct Answer Incorrect Answer
    C 162 Correct Answer Incorrect Answer
    D 140 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the maximum marks of the exam be 100x

    Sneha’s marks = 0.41 × 100x = 41x

    Passing marks = 41x + 17

    Rohan’s marks = 0.49 × 100x = 49x

    Passing marks = 49x - 7

    So, 41x + 17 = 49x - 7

    ⇒ 8x = 24

    ⇒ x = 3

    Passing marks = 41x + 17 = 41 × 3 + 17 = 123 + 17 = 140

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