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    Question

    In a school, the number of girls is 25% less than the

    number of boys. If the number of boys increases by 20% and the number of girls decreases by 10%, find the overall percentage change in total students.
    A 27.12% increase Correct Answer Incorrect Answer
    B 13.55% decrease Correct Answer Incorrect Answer
    C 7.14% increase Correct Answer Incorrect Answer
    D 33.33% decrease Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the initial number of boys be 100x
    So, the initial number of girls = 100x × 0.75 = 75x
    Total number of students = 100x + 75x = 175x Number of boys after increase = 100x × 1.20 = 120x
    Number of girls after decrease = 75x × 0.90 = 67.5x New total number of students = 120x + 67.5x = 187.5x Overall change = 187.5x - 175x = 12.5x
    Percentage change = (12.5x ÷ 175x) × 100 = 7.14% increase

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