Question

the present population of a town is 31250.if the annual increase in population is 4%,what will be the population of town after 3 years

Answer 1

Present population = 31250

•Population after One year
= 31250 + (4/100)×31250
= 31250 + 1250
= 32500
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• Population after Two year
= 32500 + (4/100)×32500
= 32500 + 1300
= 33800
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• Population after Three year
= 33800 + (4/100)×33800
= 33800 + 1352
= 35152
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Answer 2

The population of the town should be = p(1+r/100)^n [Here p=present population , r=rate of increasing , n=time]


The population of the town after 3 years =

31250(1+4/100)^3

=31250×(1+2/50)^3

=31250 × (26/25)^3

=31250 × 26/25 × 26/25 +×26/25

=35152

The answer is 35152.