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    Question

    The marks scored by a boy in three subjects are in the ratio 4 : 5 : 3. Boy scored an overall aggregate of 80% in the exam. If the maximum marks in each subject are the same, in how many subjects did boy score more than 65% marks?

    A One Correct Answer Incorrect Answer
    B Three Correct Answer Incorrect Answer
    C none Correct Answer Incorrect Answer
    D Two Correct Answer Incorrect Answer
    E Cannot be determined Correct Answer Incorrect Answer

    Solution

    Let the maximum marks in each subject be 100.
    ∴ Total score = 80% of (100 + 100 + 100) = 80% of (300) = 240
    Also, 65% marks in a subject correspond to 65% of (100) = 65
    Let a boy have scored 4x, 5x and 3x in the three subjects.
    ∴ 4x + 5x + 3x = 240
    ∴ 12x = 240 i.e. x = 20
    Hence, his marks in the three subjects are 80, 100 and 60.
    Hence, he has scored more than 65 in exactly two subject.

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