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    Question

    In an exam, Riya scored 40% and fell short of the pass

    mark by 20 marks, whereas Mehul scored 50% and exceeded the passing mark by 10 marks. What are the passing marks?
    A 152 Correct Answer Incorrect Answer
    B 135 Correct Answer Incorrect Answer
    C 162 Correct Answer Incorrect Answer
    D 140 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the maximum marks of the exam be 100x

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

    So, passing marks = 40x + 20

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

    So, passing marks = 50x - 10

    Therefore, 40x + 20 = 50x - 10

    ⇒ 10x = 30

    ⇒ x = 3

    Passing marks = 40x + 20 = 40 × 3 + 20 = 120 + 20 = 140

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