Question

The railway fare for 61 km is Rs 183. Find the fare for 53 km.

Answer 1

Let Rs x be the railway fare for a journey of distance 53 km.

Distance (in km)	61	53
Railway fare (in rupees)	183	$x$

The lesser the distance, the lesser will be the fare.
So, it is a case of direct proportion .
$$\begin{gathered} \mathrm{Now},\frac{61}{183}=\frac{53}{x} \\ \Rightarrow x=\frac{53\times 183}{61} \\ \Rightarrow x=159 \end{gathered}$$

The railway fare for a journey of distance 53 km is Rs 159.