Question:
The cost of $2 \frac{1}{3}$ metres of cloth is Rs $75 \frac{1}{4}$. Find the cost of cloth per metre.
Solution:
The cost of $2 \frac{1}{3}$ metres of cloth is Rs $75 \frac{1}{4}$.
$\therefore C$ ost per metre $=75 \frac{1}{4} \div 2 \frac{1}{3}$
$=\frac{301}{4} \div \frac{7}{3}$
$=\frac{301}{4} \times \frac{3}{7}$
$=\frac{129}{4}$
$=\operatorname{Rs} 32 \frac{1}{4}$
Thus, Rs $32 \frac{1}{4}$ or Rs $32.25$ is the cost of cloth per metre.