Question

The cost of 97 metre of cloth is Rs. 242.50.
What length of this can be purchased for Rs. 302.50 ?

Answer 1

Cost of 97 in of cloth m Rs. 242.50
Let x m can be purchase for Rs. 302.50
Therefore:
$\begin{array}{ccc}\text{Length of cloth (in metre)}& 97& 242.50\\ \text{Price (in Rs.)}& x& 302.50\end{array}$
$\therefore \frac{97}{x}=\frac{242.50}{302.50}\Rightarrow \frac{97}{x}=\frac{24250\times 100}{100\times 30250}\Rightarrow \frac{97}{x}=\frac{24250}{30250}\Rightarrow x\times 24250=97\times 30250\Rightarrow x=\frac{97\times 30250}{24250}=121$
$\therefore$ Length of cloth = 121 m