Problem

Source: ToT - 2001 Spring Junior A-Level #1

Tags: algebra unsolved, algebra



In a certain country $10\%$ of the employees get $90\%$ of the total salary paid in this country. Supposing that the country is divided in several regions, is it possible that in every region the total salary of any 10% of the employees is no greater than $11\%$ of the total salary paid in this region?