Question

The cost of $3\frac{1}{2}$ metres of cloth is Rs $57\frac{3}{4}.$ What is the cost of one metre of cloth?

Answer 1

Cost of one metre of cloth = $57\frac{3}{4}÷3\frac{1}{2}$
$$\begin{gathered} =\left(57+\frac{3}{4}\right)÷\left(3+\frac{1}{2}\right) \\ =\frac{231}{4}÷\frac{7}{2} \\ =\frac{231}{4}\times \frac{2}{7} \\ =\frac{231\times 2}{4\times 7} \\ =\frac{462}{28} \\ =16\frac{14}{28} \\ =\mathrm{Rs}16\frac{1}{2} \end{gathered}$$

Therefore, the cost of one metre of cloth is Rs $16\frac{1}{2}$.