Question

A waiter's salary consists of his salary and tips. During one week his tips were $5/4$ of his salary. What fraction of his income came from tips?

• A. $4/9$
• B. $5/4$
• C. $5/8$
• D. $5/9$

Answer 1

The correct option is D $5/9$

Let salary $=$ Rs. $x$. Then tips $=$ Rs. $\left(\frac{5}{4}x\right)$.
Total income $=$ Rs. $(x+\frac{5}{4}x)=$ Rs. $\left(\frac{9x}{4}\right)$.
$\therefore$ Required fraction $=(\frac{5x}{4}\times \frac{4}{9x})=\frac{5}{9}$.