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    Question

    Marks scored by A and B in a test are in the ratio 13:9

    respectively. If B had scored 8 more marks, then marks scored by A would be 30% more than that of B. Find the difference between actual marks scored by A and B.
    A 22 Correct Answer Incorrect Answer
    B 32 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D 25 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let actual marks scored by A and B be 13x and 9x respectively. Difference between the marks scored by A and B = 13x – 9x = 4x According to question, => (9x + 8) × 1.3 = 13x => 11.7x + 10.4 = 13x => 1.3x = 10.4 => x = 8 Required difference = 4x = 32

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