Question

Taxi charges in a city consist of fixed charges and the remaining depending upon the distance
travelled in kilometres. If a man travels 80 km, he pays ₹1,330, and travelling 90 km, he pays
₹1,490. Find the fixed charges and rate per km.

Answer 1

Let fixed charges be ₹x and rate per km be ₹y.
Then as per the question
$$\begin{gathered} x+80y=1330.....\left(i\right) \\ x+90y=1490.....\left(ii\right) \end{gathered}$$
Subtracting (i) from (ii), we get
$10y=160\Rightarrow y=\frac{160}{10}=16$
Now, putting y = 16, we have
$$\begin{gathered} x+80\times 16=1330 \\ \Rightarrow x=1330-1280=50 \end{gathered}$$
Hence, the fixed charges be ₹50 and the rate per km is ₹16.