Question

The cost of $2\frac{1}{3}meters$ of cloth is$₹75\frac{1}{4}$. Find the cost of cloth per metre.

Answer 1

The cost of $2\frac{1}{3}meters$ of cloth is $₹75\frac{1}{4}$.
The cost of $1meter$ of cloth is $=$$\frac{\left(75{\displaystyle \frac{1}{4}}\right)}{\left(2{\displaystyle \frac{1}{3}}\right)}$

$$\begin{gathered} =\frac{\left({\displaystyle \frac{301}{4}}\right)}{\left({\displaystyle \frac{7}{3}}\right)} \\ =\frac{301}{4}\times \frac{3}{7} \\ =\frac{301\times 3}{4\times 7} \\ =\frac{43\times 3}{4} \\ =\frac{129}{4} \\ =32\frac{1}{4} \end{gathered}$$

Therefore, the cost of $1meter$ of cloth is $32\frac{1}{4}$