27. 11. 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 * 96 and for a journey of 18 km, the charge paid *131. What will a person have to pay for travelling a distance of 25 km ? [CBSE 2000]
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Answer:
Let fixed charge = Rs. x
and charge per kilometer = Rs. y
According to the question,
x + 13y = 96 …(i)
and x + 18y = 131 …(ii) i
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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no no
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