Question

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

travelled in kilometres. If a person travels 80 km, he pays ₹1330, and for travelling 90 km, he

pays ₹1490. Find the fixed charges and the rate per kilometre​​

Answer 1

Answer:

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Answer 2

▪︎Given:-

• Cost of covering 80km is ₹1330
• Cost of covering 90 km is ₹1490
• Fixed charges are fixed for taxi
• Other charges depends upon distance covered by taxi.

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▪︎To Find:-

• Fixed Charge of Taxi
• Charge of taxi per km

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▪︎Solution:-

Let the taxi fixed charges be ₹x

Let the taxi charges depends on Distance be ₹y

➥ According to given conditions;

x + 80y = 1330------- eq.1

And,x + 90y = 1490------- eq.2

➥ By subtracting eq.2 from eq.1 , we get

x + 80y - (x + 90y) = 1330 - 1490

➟ x + 80y - x - 90y = -160

➟ x - x + 80y - 90y = -160

➟ -10y = -160

➟ y = -160 ÷ -10

➟ y = 16

➥ Putting y = 16 in eq.1, we get

x + 80y = 1330

➟ x + 80×16 =1330

➟ x + 1280 = 1330

➟ x = 1330 - 1280

➟ x = 50

Hence,

• Fixed taxi charges is ₹50
• Charges depends on distance covered is ₹16 per km.

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