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    Question

    In an exam, Rahul scored 50% marks and failed by 75

    marks whereas Priya scored 70% marks in the same exam and scored 55 marks more than the passing marks. Find the maximum marks of the exam.
    A 700 Correct Answer Incorrect Answer
    B 750 Correct Answer Incorrect Answer
    C 800 Correct Answer Incorrect Answer
    D 650 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ; Let the maximum marks of the exam be β€˜100x’ Marks scored by Rahul = 100x Γ— 0.50 = β€˜50x’ Marks scored by Priya = 100x Γ— 0.70 = β€˜70x’ According to question: 50x + 75 = 70x – 55 Or, 70x – 50x = 75 + 55 Or, 20x = 130 Or, x = 6.5 Therefore, maximum marks of the exam = 100x = 100 Γ— 6.5 = 650

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