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      Question

      The population of a town first decreased by 16% due to

      migration to a big city for better job opportunities. The next year, the population of the town increased by 21% as there were better facilities for jobs. What is the net percentage change (correct to 2 decimal places) in the population? 
      A Decrease by 2.54% Correct Answer Incorrect Answer
      B Increase by 2.54% Correct Answer Incorrect Answer
      C Increase by 1.64% Correct Answer Incorrect Answer
      D Decrease by 1.64% Correct Answer Incorrect Answer

      Solution

      Let the initial population be 100. After a 16% decrease: ⇒ Population = 100 - 16% of 100 ⇒ Population = 100 - 16 ⇒ Population = 84 After a 21% increase: ⇒ Population = 84 + 21% of 84 ⇒ Population = 84 + 0.21 × 84 ⇒ Population = 84 + 17.64 ⇒ Population = 101.64 Net Percentage Change: ⇒ ((101.64 - 100) / 100) × 100 ⇒ 1.64%

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