Question
The population of a city increases 4% but decreases by
emigration annually to the extent of 1%. What will be the increase percentage in the next 4 years (rounded off to two decimal places)?Solution
Net annual change in population = Increase − Decrease
= 4% − 1% = 3% increase per year
Population growth over 4 years = ( 1.03 ) 4Â Â
( 1.03 ) 2Â = 1.0609
(1.03)^4 = (1.0609)^2 = 1.12550881 ( 1.03 ) 4Â =Â ( 1.0609 ) 2Â Â =Â 1.12550881
Total increase factor = 1.12550881 − 1 = 0.12550881
Percentage increase = 0.12550881 × 100 = 12.55% (approx.)
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