2.25 m of a cloth costs ₹326.25. What is the cost of 1 m of cloth?

Given:

Total Cost = ₹326.25

Total length = 2.25 m

Cost of 1 m cloth = ?

Cost of 1 m cloth = (Total Cost) ÷ (Total length)

Substituting the values:

Cost of 1 m cloth = ₹326.25 ÷ 2.25 m

= $\dfrac{326.25 \times 100}{2.25 \times 100}$

= $\dfrac{32625}{225} \quad$ [Multiplying both sides by 100 to make denominator a whole number]

On dividing 32625 by 225, we get:

$\begin{array}{r} 145 \ 225 \overline{\smash{)} 32625 } \ \underline{225} \phantom{00} \ 1012 \phantom{0} \ \underline{900} \phantom{0} \ 1125 \ \underline{1125} \ 0 \end{array}$

326.25 ÷ 2.25 = 145

Hence, the cost of 1 m of cloth is ₹145