Question

$10\%$ of inhabitants of a village having died of cholera. A panic set in, during which $25\%$ of the remaining inhabitants left the village. The population is then reduced of $44050$. Find the original inhabitants.

• A. $5500$
• B. $6000$
• C. $6500$
• D. $7000$

Answer 1

Answer: (B)

$6000$

Let the total number is $x$.
Then, $\left(\begin{array}{c}100-25\end{array}\right)$ of $\left(\begin{array}{c}100-10\end{array}\right)\%x=4050$
$\Rightarrow 75\%$ of $90\%$ of $x=4050$
$\Rightarrow \frac{75}{100}\times \frac{90}{100}\times x=4050$
$\Rightarrow x=\frac{4050\times 50}{27}=6000$

Therefore, original inhabitants are $6000$.