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    Question

    Average marks scored by each boy in a class were 85,

    whereas that by each girl were 95. If the number of boys is 50% more than the number of girls, then find the average score of each student.
    A 88 Correct Answer Incorrect Answer
    B 89 Correct Answer Incorrect Answer
    C 86 Correct Answer Incorrect Answer
    D 84 Correct Answer Incorrect Answer
    E 90 Correct Answer Incorrect Answer

    Solution

    Let the number of girls = 2x.
    Thus, the number of boys = 3x. Total marks of boys = 3x × 85 = 255x
    Total marks of girls = 2x × 95 = 190x Total marks = 255x + 190x = 445x
    Total students = 2x + 3x = 5x Average = 445x ÷ 5x = 89

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