Question

Taxi charges in a city consist of fixed charges and the remaining depending upon the distance

travelled in kilometres. If a person travels 60 km, he pays ₹960, and for travelling 80 km, he

pays ₹1260. Find the fixed charges and the rate per kilometre​

Answer 1

Answer:

Let the fixed charge be x and rate per km be y

So, x+80y=1330

x+90y=1490

Subtracting above Equations from each other

10y=160⇒y=16

and x+80∗16=1330⇒x=1330−1280=50

Answer 2

Question :-

• Taxi charges in a city consist of fixed charges and the remaining depending upon the distance travelled in kilometres. If a person travels 60 km, he pays ₹ 960, and for travelling 80 km, he pays ₹ 1260. Find the fixed charges and the rate per kilometre.

Solution :-

Let the fixed charges be ₹ x and the other charges be ₹ y per km.

Then, x + 60y = 960. ⠀⠀⠀⠀⠀⠀...(i)

And, x + 80y = 1260. ⠀⠀⠀⠀⠀ …(ii)

On subtracting (i) from (ii), we get

20y = 300

y = 300/20

y = 15.

Putting y = 15 in (i), we get

x + (60×15) = 960

x = 960 - 900

x = 60

∴ fixed charges = ₹ 60

And the rate per km = ₹ 15 per km