The population of a town is 64000. If the annual birthrate is 10.7% and the annual death rate is 3.2%. Calculate the population after 3 years.

Given : Birth rate = 10.7%

Death rate = 3.2%

Present Population: 64000

∴ Population Increase rate will be

Birth rate - the Death rate

= 10.7 – 3.2 = 7.5%

∴ The increase in population would be 7.5% each year.

∴ the increase in population in 1st year would be 7.5% more of the present.

∴ The population at the end of first year =

Present population + Increase

= 64000 + 4800 = 68800

Increase in second year would be 7.5% of 1^st year’s Population

∴ Population at the end of second year

= Population at end of 1^st year + Increase

= 68800 + 5160 = 73960

Increase in Third year would be 7.5% of 2^nd year’s Population

∴ Population at the end of third year =

Population at end of 2^nd year + Increase

= 73960 + 5547 = 79507

So the population at the end of third year is 79507.