The population of Smallville increased by 20% from 2000 to 2005 and it increased by 30% from 2005 to 2010. By what percent did the population of Smallville increase from 2000 to 2010?

Question

Nickolas Byrd

Mathematics

19 September, 05:12

The population of Smallville increased by 20% from 2000 to 2005 and it increased by 30% from 2005 to 2010. By what percent did the population of Smallville increase from 2000 to 2010?

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Answers (1)

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Lennon · Answer 1

Answer: Percentage increase in population of Smallville from 2000 to 2010 is 56%

Step-by-step explanation:

The population of Smallville increased by 20% from 2000 to 2005. Let assume that the initial population in 2000 = P

Increased value = (100 + 20) / 100 * P

Increased value = 120/100 * P

Increased population = 1.2P

and it increased by 30% from 2005 to 2010.

Increased population = 130/100*1.2P

Increase population = 1.3 * 1.2P

Population = 1.56P

By what percent did the population of Smallville increase from 2000 to 2010

%increase = increase/initial * 100

Increase population = 1.56P - P

= 0.56P

Initial population = P

%Increase = 0.56P/P * 100

%increase = 0.56 * 100 = 56%