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    Question

    Marks scored by A and B in a test are in the ratio 15:7

    respectively. If B had scored 10 more marks, then marks scored by A would be 25% more than that of B. Find the difference between actual marks scored by A and B.
    A 14 Correct Answer Incorrect Answer
    B 16 Correct Answer Incorrect Answer
    C 10 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let actual marks scored by A and B be 15x and 7x respectively. Difference between the marks scored by A and B = 15x – 7x = 8x According to question, => (7x + 10) × 1.25 = 15x => 8.75x + 12.5 = 15x => 6.25x = 12.5 => x = 2 Required difference = 8x = 16

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