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    Question

    In a test, Riya got 40% of the total marks and was short by

    16 marks to pass. Meena obtained 50% marks and secured 4 marks more than the passing marks. What were the passing marks of the test?
    A 90 Correct Answer Incorrect Answer
    B 61 Correct Answer Incorrect Answer
    C 37 Correct Answer Incorrect Answer
    D 96 Correct Answer Incorrect Answer

    Solution

    ATQ,


    Let the total marks of the test be 100x

    Marks scored by Riya = 0.40 × 100x = 40x

    Passing marks = 40x + 16

    Marks scored by Meena = 0.50 × 100x = 50x

    Passing marks = 50x - 4

    So,

    40x + 16 = 50x - 4

    ⇒ 10x = 20

    ⇒ x = 2

    Therefore, passing marks = 40x + 16 = 40 × 2 + 16 = 96

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