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    Question

    Marks scored by A and B in a test are in the ratio 13:5

    respectively. If B had scored 5 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 12 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 10 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer

    Solution

    Let actual marks scored by A and B be 13x and 5x respectively. Difference between the marks scored by A and B = 13x – 5x = 8x According to question, => (5x + 5) × 1.3 = 13x => 6.5x + 6.5 = 13x => 6.5x = 6.5 => x = 1 Required difference = 8x = 8

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