Question

    A student named Pooja secured 42% and failed by 15 marks,

    while her classmate Ramesh scored 54% and got 21 marks more than required. What is the passing mark?
    A 152 Correct Answer Incorrect Answer
    B 135 Correct Answer Incorrect Answer
    C 162 Correct Answer Incorrect Answer
    D 141 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Assume total marks = 100x

    Pooja's marks = 0.42 × 100x = 42x

    Passing marks = 42x + 15

    Ramesh’s marks = 0.54 × 100x = 54x

    Passing marks = 54x - 21

    So, 42x + 15 = 54x - 21

    ⇒ 12x = 36

    ⇒ x = 3

    Passing marks = 42x + 15 = 42 × 3 + 15 = 126 + 15 = 141

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