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The population of a country was increased in the past 4 years. The annual presentage increases are 20%,25%,30%,10% respectively.What the overall percentage increase in these 4years?

Respuesta :

The answer is 114.5%.

Let the original population be denoted by x.

Now, let's go through the percentage increase per year.

Year 1

  • x (1 + 20%)
  • x (1.2)
  • 1.2x

Year 2

  • 1.2x (1 + 25%)
  • 1.2x (1.25)
  • 1.5x

Year 3

  • 1.5x (1 + 30%)
  • 1.5x (1.3)
  • 1.95x

Year 4

  • 1.95x (1 + 10%)
  • 1.95x (1.1)
  • 2.145x

Overall increase : 214.5% - 100% = 114.5%

Hence, the overall percentage increase in these 4 years is 114.5%.

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