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    Question

    In a test, P got 35% of total marks and failed by 30

    marks while Q got 46% of total marks which is 20 more than passing marks. Find the total marks of the test.
    A 520 Correct Answer Incorrect Answer
    B 400 Correct Answer Incorrect Answer
    C 500 Correct Answer Incorrect Answer
    D 300 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total marks of the test be ‘x’ Therefore, marks scored by P = 0.35x Therefore, passing marks of the test = 0.35x + 35 Marks scored by Q = 0.46x Also, passing marks of the test = 0.46x – 20 Therefore, 0.35x + 35 = 0.46x – 20 Or, 0.11x = 55 Or, x = 55/0.11 = 500 Therefore, total marks of the test = 520

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