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    Question

    Average marks scored by each boy in a class were 95,

    whereas that by each girl were 105. If the number of boys is 50% more than the number of girls, then find the average score of each student.
    A 100 Correct Answer Incorrect Answer
    B 102 Correct Answer Incorrect Answer
    C 101 Correct Answer Incorrect Answer
    D 99 Correct Answer Incorrect Answer
    E 98 Correct Answer Incorrect Answer

    Solution

    Let the number of girls = 2x.
    Thus, the number of boys = 3x. Total marks of boys = 3x × 95 = 285x
    Total marks of girls = 2x × 105 = 210x Total marks = 285x + 210x = 495x
    Total students = 2x + 3x = 5x Average = 495x ÷ 5x = 99

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