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    Question

    In class ‘C’, the number of girls is 25% more than

    that of boys while in class ‘D’ the number of girls is 40% more than that of boys. If the total number of students in class ‘C’ and ‘D’ is 360 and 420, respectively, then find the difference between the number of girls in classes ‘C’ and ‘D’.
    A 45 Correct Answer Incorrect Answer
    B 24 Correct Answer Incorrect Answer
    C 40 Correct Answer Incorrect Answer
    D 24 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the total number of boys in class ‘C’ = ‘10a’ Then, the total number of girls in class ‘C’ = 1.25 × 10a = ‘12.5a’ Let the total number of boys in class ‘D’ = ‘10b’ Then, the total number of girls in class ‘D’ = 1.40 × 10b = ‘14b’ According to the question, 10a + 12.5a = 360 Or, 22.5a = 360 Or, a = 360 / 22.5 = 16 And, 10b + 14b = 420 Or, 24b = 420 Or, b = 420 / 24 = 17.5 Required difference = 14b – 12.5a = 14 × 17.5 – 12.5 × 16 = 245 – 200 = 45

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