Question

Due to poor economic conditions, a company had to lay off $20$% of its workforce. When the economy improved, it was able to restore the number of employees to its original number. By what percent was the depleted workforce increased in order to return to the original number of employees?

• A. $20$
• B. $25$
• C. $80$
• D. $120$
• E. $125$

Answer 1

The correct option is B $25$

Let the original number of employees are $100$

After lay of number of employees $=100-20=80$

When the economic improve, the number of employs are again $100$

So, $20$ people must be hired

Let to get the original number of employs $x\%$ employs increased

$\therefore x\%$ of $80=20$

$\Rightarrow \frac{x}{100}\times 80=20$

$\Rightarrow x=\frac{20\times 100}{80}$

$\Rightarrow x=25\%$