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    Question

    In class β€˜C’, the number of girls is 25% more than

    that of boys while in class β€˜D’ the number of girls is 40% more than that of boys. If the total number of students in class β€˜C’ and β€˜D’ is 360 and 420, respectively, then find the difference between the number of girls in classes β€˜C’ and β€˜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 β€˜C’ = β€˜10a’ Then, the total number of girls in class β€˜C’ = 1.25 Γ— 10a = β€˜12.5a’ Let the total number of boys in class β€˜D’ = β€˜10b’ Then, the total number of girls in class β€˜D’ = 1.40 Γ— 10b = β€˜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 Γ— 17.5 – 12.5 Γ— 16 = 245 – 200 = 45

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