Question

The cost of $2\frac{1}{2}$ metres of cloth is Rs $78\frac{3}{4}$. Find the cost of cloth per metre.

Answer 1

$\begin{array}{l}\mathrm{Cost}\mathrm{of}2\frac{1}{2}\mathrm{m}\mathrm{cloth}=\mathrm{Rs}78\frac{3}{4}\\ \begin{array}{l}\text{Cost of cloth per meter}=78\frac{3}{4}÷2\frac{1}{2}\\ =\frac{315}{4}÷\frac{5}{2}\\ =\frac{\sout{3}\sout{1}{\sout{5}}^{63}}{{\cancel{4}}_2}\times \frac{{\cancel{2}}^1}{{\sout{5}}_1}\\ =\text{Rs}\frac{63}{2}=Rs31\frac{1}{2}\end{array}\\ \therefore \mathrm{Cost}\mathrm{of}\mathrm{the}\mathrm{cloth}(\mathrm{per}\mathrm{metre})=\mathrm{Rs}31\frac{1}{2}\\ \end{array}$