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  • Taxi charges in a city consist of fixed charges and the remaining charges depend upon the distance travelled. For a journey of 10 km, the charge paid is Rs.75 and for a journey of 15 km, the charge paid is Rs.110. Find the fixed charge and charges per

Taxi charges in a city consist of fixed charges and the remaining charges depend upon the distance travelled. For a journey of 10 km, the charge paid is Rs.75 and for a journey of 15 km, the charge paid is Rs.110. Find the fixed charge and charges per km. Hence, find the charge of covering a distance of 35 km. 

 

 

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\\ $ Let fixed charge be Rs x and variable charge Rs y per \mathrm{km} be $ \\ $AQT$ \\ x+10 y=75 .....(i)\\ x+15 y=110.....(ii)\\ $ Equation (i) - Equation (ii) $ \\ x+10 y - x-15 y=75 -110 \\ -5y = -35 \\ y =7 \\ x=5 \\ $ Hence the total charge for 35 \mathrm{km}=\mathrm{x}+35 \mathrm{y} =Rs 250

 

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