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    Question

    In a university with 5200 students in 2022, 60% were female

    and the rest male. In 2023, the number of females rose by 25%, while the number of males dropped by 20%. Find the percentage change in the total number of students in 2023 compared to 2022.
    A 5% Correct Answer Incorrect Answer
    B 6% Correct Answer Incorrect Answer
    C 2% Correct Answer Incorrect Answer
    D 7% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Number of females in 2022 = 5200 × 0.60 = 3120

    Number of males in 2022 = 5200 - 3120 = 2080

    Number of females in 2023 = 3120 × (5/4) = 3900

    Number of males 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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