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    Question

    Out of 6000 students in a university in 2019, 70% were

    girls and the rest were boys. In 2020, the number of girls increased by 20% and the number of boys decreased by 40%. Find the percentage change in the total number of students in 2020 compared to 2019.
    A 5% Correct Answer Incorrect Answer
    B 12% Correct Answer Incorrect Answer
    C 2% Correct Answer Incorrect Answer
    D 18% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,
    Number of girls in 2019 = 6000 × 0.70 = 4200

    Number of boys in 2019 = 6000 - 4200 = 1800

    Number of girls in 2020 = 4200 × 1.20 = 5040

    Number of boys in 2020 = 1800 × 0.60 = 1080

    Total number of students in 2020 = 5040 + 1080 = 6120

    So, percentage change in total number of students = {(6120 - 6000)/6000} × 100 = 2%

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