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    Question

    The population of a town increased by 10% in the first

    year, then again by 15% in the second year, and decreased by 20% in the third year. If the population in 2023 was 29,484, find the 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
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the population in 2020 be тАШxтАЩ.

    ATQ,

    x ├Ч 1.10 ├Ч 1.15 ├Ч 0.80 = 29484

    Or, x = 29484 ├Ч (1/1.10) ├Ч (1/1.15) ├Ч (1/0.80)

    So, x = 30,000

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

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