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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 β€˜x’.

      ATQ,

      x Γ— 1.09 Γ— 1.06 Γ— 0.90 = 25960

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

      So, x = 30,000

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

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