Question

A taxt charges a fare of Rs 1275 for a journey of 150 km. How much would it charge for a journey of 124 km?

Answer 1

Let the required charge be Rs x. Then, we have:

Distance (in km)	150	124
Taxi charges (in rupees	1275	$x$

Clearly, the less the distance covered, the less will be the taxi charges.
So, this is a case of direct proportion.
$$\begin{gathered} \mathrm{Now},\frac{150}{1275}=\frac{124}{x} \\ \Rightarrow \frac{2}{17}=\frac{124}{x} \\ \Rightarrow \left(2\times x\right)=\left(124\times 17\right) \\ \Rightarrow x=\frac{124\times 17}{2} \\ \Rightarrow x=62\times 17=1054 \end{gathered}$$
Therefore, the required charge is Rs 1,054.