Q17 of 186 Page 4

The car rental charges in a city comprise a fixed charge together with the charge for the distance covered. For a journey of 13 km, the charge paid is Rs. 96 and for a journey of 18 km, the charge paid is Rs. 131. What will a person have to pay for travelling a distance of 25 km?

Let fixed charge = Rs. x

and charge per kilometer = Rs. y


According to the question,


x + 13y = 96 …(i)


and x + 18y = 131 …(ii)


On subtracting Eq. (i) from Eq. (ii), we get


x + 18y – x – 13y = 131 – 96


⇒ 5y = 35


⇒ y = 7


On putting the value of y = 7 in Eq. (i), we get


x + 13 (7) = 96


⇒ x + 91 = 96


⇒ x = 5


Hence, monthly fixed charges is Rs. 5 and charge per kilometer is Rs. 7


Now, amount to be paid for travelling 25 km


= Fixed charge + Rs 7 ×25


= 5 + 175


= Rs. 180


Hence, the amount paid by a person for travelling 25km is Rs. 180


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