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