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    Question

    In 2020, a city had 'q' trees planted along the streets.

    The number of trees increased by 40% in 2021 and another 35% in 2022. The number of trees decreased by 20% in 2023. If the percentage of fruit trees was 20% in 2020 and 30% in 2023, what is the percentage change in the number of fruit trees?
    A 110.55 % Correct Answer Incorrect Answer
    B 126.8 % Correct Answer Incorrect Answer
    C 145.6 % Correct Answer Incorrect Answer
    D 140.11% Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the number of trees in 2020 be 5000. In 2021, number of trees = 1.40×5000=7000. In 2022, number of trees = 1.35×7000=9450. In 2023, number of trees decreased by 20% = 0.80×9450=7560. Fruit trees in 2020 = 0.20×5000=1000. Fruit trees in 2023 = 0.30×7560=2268. Percentage change in fruit trees = {(2268−1000)/1000}×100% = 126.8% Therefore, the number of fruit trees increased by 126.8% from 2020 to 2023.

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