A taxi charges consists of fixed charges and the remaining depending upon the distance travelled
in kilometers if a person travels 10km, he pays Rs. 68 and for travelling 15km, he pays Rs. 98.
Express the above statement with the help of simultaneous equations and hence, find the
fixed charges and the rate per km.
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let fixed charge be X and running charge be Y .
according to question ,
X+10y=68. -------------------(1)
X+5y=98. -------------------(2)
from equation.(1)
X+10y=68
X=68-10y
putting value of X in equation (2)
X+15y=98
68-10y+15y=98
5y=98-68
5y=30
Y=6
putting value of X in equation (1)
X+10y=68
X+10(6)=68
X+60=68
X=68-60
X=8
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