Question

The cost of $\frac{19}{4}$metres of wire is$₹\frac{171}{2}$. Find the cost of one metre of the wire.

Answer 1

From the given details

The cost of $\frac{19}{4}$ meters of wire is =$=$$₹\frac{171}{2}$

We have to determine the cost of one meter of wire

Cost of one meter of wire $=\left(\frac{171}{2}\right)÷\left(\frac{19}{4}\right)$

$$\begin{gathered} =\frac{171}{2}\times \frac{4}{19} \\ =\frac{171}{19}\times \frac{4}{2} \\ =\frac{9}{1}\times \frac{2}{1} \\ =18 \end{gathered}$$

Therefore, The cost of one meter of wire is $₹18$.