Question

Population of a town increases $25\%$ annually but decreases by $5\%$ every year due to migration. What will be the percentage increase in $2$ years?

• A. $40\%$
• B. $44\%$
• C. $44.4\%$
• D. $39.6\%$

Answer 1

The correct option is B $44\%$

Net percentage increase in population
$=(25-5)=20\%$ each year.
Let the original population of the town be $x.$
Population of the town after $1$ year
$=(x+20\%\text{of}x)=1.20x$
Population of the town after $2$ years
$=(1.20x+20\%\text{of}1.20x)=1.44x$

Now, $\%$ increase in population
$=\frac{0.44x}{x}\times 100=44\%$