Q. 264.8( 5 Votes )

# 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 Rs. 1330, and travelling 90 km, he pays Rs.1490. Find the fixed charges and rate per km.

Answer :

Let the fixed charge of taxi be x.

Excluding fixed charge, a man pays Rs. (1330 - x) for 80 km and Rs. (1490 - x) for 90 km distance.

∴ Rate per km is given by -

On Cross multiplying, we get -

⇒ 90(1330 - x) = 80(1490 - x)

⇒ 119700 - 90x = 119200 - 80x

⇒ 10x = 500

⇒ x = 50

Hence, the fixed charge = Rs. 50

and, Rate per km = ((1330 - 50)/80) = (1280/80) = Rs. 16

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