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    Question

    The population of a city increased by 11% for two

    consecutive years and then decreased by 30% in the third year. If the final population in 2023 was 21,658.05, find its population in 2020.
    A 30000 Correct Answer Incorrect Answer
    B 26320 Correct Answer Incorrect Answer
    C 17530 Correct Answer Incorrect Answer
    D 23940 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the population in 2020 be ‘x’.

    ATQ,

    x × 1.11 × 1.11 × 0.70 = 21658.05

    Or, x = 21658.05 × (1/1.11) × (1/1.11) × (1/0.70)

    So, x = 30,000

    Therefore, the population of the city in 2020 = x = 30,000

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