The population of a town is 20,000. If the annual birth rate of is 4% and annual death rate is 2% calculate the population after two years.

# The population of a town is 20,000. If the annual birth rate of is 4% and annual death rate is 2% calculate the population after two years.

1. A
$30808$
2. B
$20808$
3. C
$20000$
4. D
None of these

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### Solution:

Concept- In order to solve the problem given above , first find the population increase and then find the final population after two years .
Here,
Annual birth rate=4%
Annual death rate=2%
And,
Then, the population after the 2 years will be,
$={\left(1+0.02\right)}^{2}×20000$
$={\left(1.02\right)}^{2}×20000$
$=1.0404×20000$
$=20808$
Hence, the correct answer is option 2.

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