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    Question

    There are 65 students in a class. Rs.78 is distributed

    among them such that each boy gets 2(6/13)% of the total students and each girl gets 12/13 % of the total students. Find the ratio of total number of boys to the total number of girls in class.
    A 3:2 Correct Answer Incorrect Answer
    B 1:1 Correct Answer Incorrect Answer
    C 3:4 Correct Answer Incorrect Answer
    D 2:3 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total boys be x and the total girls be (65 - x).
    Total amount which the boys get = x * 2(6/13)% of 65 = x * (32/13)% of 65 = 8x/5
    Total amount which the girls get = (65 - x) * 12/13 % of 65 = 39 - 3x/5
    According to the question-
    => 8x/5 + 39 - 3x/5 = 78
    => x + 39 = 78
    => x=39
    Ratio of boys to the girls = 39:(65 - 39) = 39:26 = 3:2

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