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    Question

    A coaching institute had 4800 students in 2019, out of

    which 55% were boys and the rest were girls. In 2020, the number of boys rose by 20% and the number of girls fell by 15%. What was the percentage change in the total number of students in 2020 compared to 2019?
    A 15.5% Correct Answer Incorrect Answer
    B 16.5% Correct Answer Incorrect Answer
    C 2.55% Correct Answer Incorrect Answer
    D 4.25% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Number of boys in 2019 = 4800 × 0.55 = 2640

    Number of girls in 2019 = 4800 - 2640 = 2160

    Number of boys in 2020 = 2640 × 1.20 = 3168

    Number of girls in 2020 = 2160 × 0.85 = 1836

    Total students in 2020 = 3168 + 1836 = 5004

    So, percentage change in total students = {(5004 - 4800) / 4800} × 100 = 4.25%

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