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    Question

    Average marks scored by each boy in a class were 100,

    whereas that by each girl were 90. If the number of boys is 50% more than the number of girls, then find the average score of each student.
    A 98 Correct Answer Incorrect Answer
    B 99 Correct Answer Incorrect Answer
    C 96 Correct Answer Incorrect Answer
    D 95 Correct Answer Incorrect Answer

    Solution

    Let the number of girls = 2x.
    Thus, the number of boys = 3x. Total marks of boys = 3x × 100 = 300x
    Total marks of girls = 2x × 90 = 180x Total marks = 300x + 180x = 480x
    Total students = 2x + 3x = 5x Average = 480x ÷ 5x = 96

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