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    Question

    A city’s population rose by 8% in the first year,

    increased by 10% in the second year, and then dropped by 12% in the third year. If the population in 2023 was 33,264, find its population in 2020.
    A 36000 Correct Answer Incorrect Answer
    B 26320 Correct Answer Incorrect Answer
    C 17530 Correct Answer Incorrect Answer
    D 23940 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the population in 2020 be ‘x’.

    ATQ,

    x × 1.08 × 1.10 × 0.88 = 33264

    Or, x = 33264 × (1/1.08) × (1/1.10) × (1/0.88)

    So, x = 36,000

    Therefore, the population of the city in 2020 = x = 36,000

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