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    Question

    Average marks scored by each boy in a class were 90,

    whereas that by each girl were 100. If the number of boys is 50% more than the number of girls, then find the average score of each student.
    A 91 Correct Answer Incorrect Answer
    B 95 Correct Answer Incorrect Answer
    C 92 Correct Answer Incorrect Answer
    D 94 Correct Answer Incorrect Answer

    Solution

    Let the number of girls = 2x.
    Thus, the number of boys = 3x. Total marks of boys = 3x × 90 = 270x
    Total marks of girls = 2x × 100 = 200x Total marks = 270x + 200x = 470x
    Total students = 2x + 3x = 5x Average = 470x ÷ 5x = 94

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