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    Question

    In a scholarship test, 'P'

    achieved 28% of the total marks and fell short of passing by 45 marks. Meanwhile, 'Q' scored 44% of the total marks, which was 75 marks higher than the required passing marks. Determine the passing percentage for this test.
    A 34% Correct Answer Incorrect Answer
    B 20% Correct Answer Incorrect Answer
    C 44% Correct Answer Incorrect Answer
    D 54% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the maximum marks of the test be‘x’. Marks scored by P = 0.28x Marks scored by Q = 0.44x According to question, 0.28x + 45 = 0.44x – 75 0.16x = 120, x = 750 So, the passing marks = 0.28 × 750 + 45 = 210 + 45 = 255 Required passing percentage = (255/750) × 100 = 34%

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