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    Question

    The population of a village grew by 9% in the first

    year, 6% in the second year, and then reduced by 10% in the third year. If the population in 2023 became 25,960, what was 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

    Solution

    ATQ,

    Let the population in 2020 be ‘x’.

    ATQ,

    x × 1.09 × 1.06 × 0.90 = 25960

    Or, x = 25960 × (1/1.09) × (1/1.06) × (1/0.90)

    So, x = 30,000

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

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