taxi charges in a city consists of fixed charges and remaining depending upon the distance travelled in kilometres if a person travel 60 km he page rupees 960 for and for travelling 80 km he pays rupees 1260 find fixed charges and rate per kilometre
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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
x = 60∴ fixed charges = ₹ 60
x = 60∴ fixed charges = ₹ 60And the rate per km = ₹ 15 per km
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