# Task 2. (3 points)

In a certain company, the $20 \%$ most useful employees perform $80 \%$ of the work. What is the smallest percentage of work that the $40 \%$ most useful employees can perform?

We will consider an employee more useful if they perform more work.
Answer: $85 \%$

## Solution:

$40 \%$ of the most useful employees are divided into $20 \%$ who perform $80 \%$ of the work, and the next $20 \%$ who are part of the $80 \%$ performing the remaining $20 \%$. These second $20 \%$ make up a quarter of the $80 \%$. Since they are the most useful among these $80 \%$, they perform no less than a quarter of the work of these $80 \%$, which is no less than $20 \%: 4=5 \%$ of the total work.

Therefore, $40 \%$ of the most useful employees perform no less than $85 \%$ of the total work. Equality is achieved when the $80 \%$ least useful employees work equally.