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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.
Solution
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.
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