Problem: In an organization, 30% of the employees live over ten miles from work and 60% of the employees who live over ten miles from work use company transport. If 40% of the employees of the company use company transport, what percent of the employees live ten miles or less from work and use company transport?

Correct Answer: Live ten miles or less 70% and use company transport 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 =$\frac{60×100}{100}$= 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$\frac{3}{7}$