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    Question

    A college had 5500 students in 2018, with 68% of them being

    girls and the remaining boys. In 2019, the number of girls increased by 40% and the number of boys decreased by 30%. Find the percentage change in the student count in 2019 as compared to 2018.
    A 15.5% Correct Answer Incorrect Answer
    B 16.5% Correct Answer Incorrect Answer
    C 12.5% Correct Answer Incorrect Answer
    D 17.6% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Number of girls in 2018 = 5500 × 0.68 = 3740

    Number of boys in 2018 = 5500 - 3740 = 1760

    Number of girls in 2019 = 3740 × (140/100) = 5236

    Number of boys in 2019 = 1760 × 0.70 = 1232

    Total students in 2019 = 5236 + 1232 = 6468

    So, percentage change in total students = {(6468 - 5500) / 5500} × 100 = 17.6%

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