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    Question

    The average Hindi marks of two sections A and B of class VIII in the annual examination is 75. The average marks of Section A is 78.5 and that of section B is 70. The ratio of the number of students of section A and B is

    A 4:7 Correct Answer Incorrect Answer
    B 6:5 Correct Answer Incorrect Answer
    C 7:8 Correct Answer Incorrect Answer
    D 10:7 Correct Answer Incorrect Answer

    Solution

    Let the number of students in section A is x and B is y, then 75 =  (78.5 × x + 70 × y)/ (x + y) ⇒ 75x + 75y = 78.5x + 70y ⇒  5y = 3.5x ⇒ x/y = 5/3.5 ⇒ x/y = 10 : 7

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