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.