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(iv) The taxi charges in a city consist of a fixed charge together with105distance covered. For a distance of 10 km the charge paid isjourney of 15 km, the charge paid is 155. What are the fixed charges.charge per km? How much does a person have to pay for travelling25 km?e together with the charge for the105 and for aharge paid isthe fixed charges and theay for travelling a distance of |
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Answer» 10 km=105rsCharge per km=105/10=10.5rs25 km charge=10.5*25=rs 262.5 Let the fixed charge be Rs x and per km charge be Rs y.According to the given information,x + 10y = 105(1)x + 15y = 155(2)From (3), we obtainx = 105 – 10y(3)Substituting this in equation (2), we obtain105 – 10y + 15y = 1555y = 50y = 10 (4)Putting this in equation (3), we obtainx = 105 – 10 × 10x = 5Hence, fixed charge = Rs 5And per km charge = Rs 10Charge for 25 km = x + 25y= 5 + 250 = Rs 255 |
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