Question

Taxi charges in a city consist of fixed charges per day and the remaining depending upon the distance travelled in kilometers. If a person travels 80km, he pays Rs. 1330, and for travelling 90km, he pays Rs. 1490. Find the fixed charges per day and the rate per km.

Answer 1

Let fixed charges be Rs.x and rate per km be Rs.y. 

Then as per the question 

x + 80y = 1330 ………(i) 

x + 90y = 1490 ……..(ii) 

Subtracting (i) from (ii), we get 

10y = 160 

⇒ y = 160/10 = 16 

Now, putting y = 16, we have 

x + 80 × 16 = 1330 

⇒x = 1330 – 1280 = 50 

Hence, the fixed charges be Rs.50 and the rate per km is Rs.16.