Question

The cost of $3\frac{1}{2}$ metres of cloth is ₹ $166\frac{1}{4}$ . what is the cost of one metre of cloth?

Answer 1

Cost of $3\frac{1}{2}$ m of cloth = ₹$166\frac{1}{4}$
So, the cost of 1 m of cloth = $\frac{166{\displaystyle \frac{1}{4}}}{3{\displaystyle \frac{1}{2}}}=\frac{{\displaystyle \frac{665}{4}}}{{\displaystyle \frac{7}{2}}}=\frac{{\displaystyle 665}}{{\displaystyle 4}}\times \frac{2}{7}=\frac{95}{2}=₹47\frac{1}{2}$
Hence, the cost of 1 m of cloth is ₹ $47\frac{1}{2}$.