(iv) The taxi charges in a city consist of a fixed charge together with the charge for thedistance covered. For a distance of 10 km, the charge paid is 105 and for ajourney of 15 km, the charge paid is ? 155. What are the fixed charges and thecharge per km? How much does a person have to pay for travelling a distance of25 km?

(iv) The taxi charges in a city consist of a fixed charge together wit

1.	(iv) The taxi charges in a city consist of a fixed charge together with the charge for thedistance covered. For a distance of 10 km, the charge paid is 105 and for ajourney of 15 km, the charge paid is ? 155. What are the fixed charges and thecharge per km? How much does a person have to pay for travelling a distance of25 km?
Answer» Let the fixed charge pe x and travel charge be y/kmThen,105 = x + 10y155 = x + 15ySolving simultaneously5y = 50y=10And x = 5For 25 kmCharge = 5 + 25*10 = 255