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    Question

    Marks scored by A and B in a test are in the ratio 13:8

    respectively. If B had scored 4 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 14 Correct Answer Incorrect Answer
    B 7 Correct Answer Incorrect Answer
    C 10 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer
    E 9 Correct Answer Incorrect Answer

    Solution

    Let actual marks scored by A and B be 13x and 8x respectively. Difference between the marks scored by A and B = 13x – 8x = 5x According to question, => (8x + 4) × 1.3 = 13x => 10.4x + 5.2 = 13x => 2.6x = 5.2 => x = 2 Required difference = 5x = 10

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