Question

The population in $2002$ was $29,000$. It was expected to rise to $34,000$ by $2012$. In fact it rose to $33,000$. What was the percentage error?

• A. $25\%$
• B. $15\%$
• C. $12.5\%$
• D. None of these

Answer 1

The correct option is A $25\%$

$\Rightarrow$ Here, Approximate Population = $34000-29000=5000$

$\Rightarrow$ Exact population = $33000-29000=4000$

$\Rightarrow$ $\%Error=\frac{|Approximatevalue-Exactvalue|}{|Exactvalue|}\times 100$

$\Rightarrow$ $\%Error=\frac{|5000-4000|}{|4000|}\times 100$

$\therefore$ $\%Error=25\%$