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    Question

    In 2022, there were 5200 students in a college, 60% of whom

    were girls. Next year, the number of girls went up by 25%, while the number of boys dropped by 20%. What was the percentage change in the total student count in 2023?
    A 2% Correct Answer Incorrect Answer
    B 5% Correct Answer Incorrect Answer
    C 7% Correct Answer Incorrect Answer
    D 1% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,
    Number of girls in 2022 = 5200 × 0.60 = 3120

    Number of boys in 2022 = 5200 - 3120 = 2080

    Number of girls in 2023 = 3120 × 1.25 = 3900

    Number of boys in 2023 = 2080 × 0.80 = 1664

    Total number of students in 2023 = 3900 + 1664 = 5564

    So, percentage change in total number of students = {(5564 - 5200)/5200} × 100 = 7%

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