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    Question

    The overall average score of a group of students is 70.

    The boys have an average of 60 and the girls average 85. By what percentage is the number of boys less than the number of girls?
    A 33.33% Correct Answer Incorrect Answer
    B 33(2/33)% Correct Answer Incorrect Answer
    C 3(1/3)% Correct Answer Incorrect Answer
    D 25.25% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of boys and girls be 'a' and 'b' respectively. (60a + 85b) ÷ (a + b) = 70 Or, 60a + 85b = 70a + 70b Or, 15b = 10a Or, a : b = 15 : 10 = 3 : 2 Required percentage = [(3 - 2)/3] × 100 = (1/3) × 100 = 33.33% less

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