Question

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

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{cost}\mathrm{of}2\frac{1}{3}\mathrm{metres}\mathrm{of}\mathrm{cloth}\mathrm{is}\mathrm{Rs}75\frac{1}{4}. \\ \therefore C\mathrm{ost}\mathrm{per}\mathrm{metre}=75\frac{1}{4}÷2\frac{1}{3} \\ =\frac{301}{4}÷\frac{7}{3} \\ =\frac{301}{4}\times \frac{3}{7} \\ =\frac{129}{4} \\ =\mathrm{Rs}32\frac{1}{4} \\ Thus,\mathrm{Rs}32\frac{1}{4}\mathrm{or}\mathrm{Rs}32.25\mathrm{is}\mathrm{the}\mathrm{cost}\mathrm{of}\mathrm{cloth}\mathrm{per}\mathrm{metre}. \end{gathered}$$