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    Question

    In a mixed school 25% of the scholars are infants under

    7 and the number of girls above 7 is 4/5 of the number of boys above 7, and amounts to 120. Find the number of scholars in the school.
    A 200 Correct Answer Incorrect Answer
    B 360 Correct Answer Incorrect Answer
    C 420 Correct Answer Incorrect Answer
    D 240 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total number of scholars in the school be x. Number of infants under 7 = (25 x)/100=  x/4 ∴ Remaining scholars = x-  x/4 = (3 x)/4 ∵ Number of girls above 7 = 4/5 of Number of boys above 7 Now,  120 = 4/5× number of boys above 7 Number of boy above 7 = 150 ∴ 3x/4 = 120 + 150  ⇒ (3 x)/4 = 270    ⟺  x = 360

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