The cost of $7\frac{2}{3}$ metres of rope is Rs $12\frac{3}{4}$.Find its cost per metre.
Given:
The cost of $7\frac{2}{3}$ metres of rope is Rs $12\frac{3}{4}$.
To do:
We have to find its cost per metre.
Solution:
Cost of $7\frac{2}{3}$ metres of rope $=$ Rs $12\frac{3}{4}$
This implies,
Cost of $\frac{7\times3+2}{3}$ metres of rope $=$ Rs $\frac{12\times4+3}{4}$
Cost of $\frac{23}{3}$ metres of rope $=$ Rs $\frac{51}{4}$
Therefore,
Cost of 1 metre of rope $=Rs.\ \frac{51}{4}\div\frac{23}{3}$
$=Rs.\ \frac{51}{4}\times\frac{3}{23}$
$=Rs.\ \frac{51\times3}{4\times23}$
$=Rs.\ \frac{153}{92}$
$=Rs.\ 1\frac{61}{92}$
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