Problem: In an organization, 30% of the employees live at a distance of over 10 miles from the place of work. 60% of the employees who live at a distance of over 10 miles from the place of work, use company transport. If 40% of the total employees of the company use company transport, what percentage of the employees live within a distance of 10 miles from the place of work and also use the company transport?

Correct Answer: $31\frac{3}{7}$ %

Explanation:

Let, total employees = 100 30% live over ten miles 30% employee = 30 employees

Live 10 mile or less 10 mile = (100 — 30)% = 70%

60% of 30 employee who live over 10 miles =$\frac{60×30}{100}$= 18 employees

The employees 40% use transport =$\frac{40×100}{100}$= 40 employees

The employees use transport who live 10 or less 10 miles = (40 — 18) = 22

Among 70 employees use transport = 22

Among 100 employees use transport =$\frac{22×100}{70}$ = $31\frac{3}{7}$ %