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

Given:

The cost of $2\frac{1}{3}$ metres of cloth is Rs $75\frac{1}{4}$.

To do:

We have to find its cost per metre.

Solution:

Cost of $2\frac{1}{3}$ metres of cloth $=$ Rs $75\frac{1}{4}$

This implies,

Cost of $\frac{2\times3+1}{3}$ metres of cloth $=$ Rs $\frac{75\times4+1}{4}$

Cost of $\frac{7}{3}$ metres of cloth $=$ Rs $\frac{301}{4}$

Therefore,

Cost of 1 metre of cloth $=Rs.\ \frac{301}{4}\div\frac{7}{3}$

$=Rs.\ \frac{301}{4}\times\frac{3}{7}$

$=Rs.\ \frac{301\times3}{4\times7}$

$=Rs.\ \frac{129}{4}$

$=Rs.\ 32.25$

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