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Question

A taxi charges in a city comprise of a fixed charge together with charge for distance covered. For a journey of 10km the charge paid was 75Rs and for 15km the charge was 110Rs. Find the charge for 25km.

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Solution

Let fixed charges of taxi be Rs.x and charges for covering distance be Rs.y per km.
Then according to question, we have
x+10y=75 (i)
x+15y=110 (ii)
Solve
we get x=5 and y=7
Person will have to pay for travelling a distance of 25 km.
x+25y=5+25*7=Rs.180

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