Question

The population of a town is $1200$ in $2010$. From $2010$ to $2015$, the population of the town increased by $10\%$ per year. Whats the population of the town in $2015$?

• A. $4932.612$
• B. $3932.612$
• C. $2932.612$
• D. $1932.612$

Answer 1

The correct option is D $1932.612$

In year $2010$ initial population is $a=1200$

$\%$ increase in population $=10\%$, i.e. $r=1.1$

Population in $2015$ will be : $a{r}^5$ (following simple GP)

$=1200\times (1.1{)}^5=1200\times 1.61051=1932.612$

Therefore, population of the town in $2015$ is $1932.612$.