Mechanics are paid twice the hourly wages of sales people. Custodial workers are paid one-third the hourly wages of mechanics. What fraction of the hourly wages of custodial workers are sales people paid?
(a)$\frac{1}{3}$
(b)$\frac{1}{2}$
(c)$\frac{2}{3}$
(d)$\frac{3}{2}$
(e)$\frac{4}{3}$
Answer
Answer (as printed): D
Explanation
Let the hourly wage of each sales person be ₹ $x$. Then, hourly wage of each mechanic $=₹(2 x)$. Hourly wage of each custodial worker $=₹\left(\frac{2 x}{3}\right)$. $$\quad \text { Required fraction }=\frac{x}{\left(\frac{2 x}{3}\right)}=\frac{3}{2} .$$
Explanation as extracted from the printed page; notation may be imperfect.