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    Question

    Marks scored by A and B in a test are in the ratio 13:4

    respectively. If B had scored 6 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 9 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 4x respectively. Difference between the marks scored by A and B = 13x – 4x = 9x According to question, => (4x + 6) × 1.3 = 13x => 5.2x + 7.8 = 13x => 7.8x = 7.8 => x = 1 Required difference = 9x = 9

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