Ratnam hired a car from a car agency which charges a flat amount of rupees x for travelling up to the 40 km and rupees y per km for every km traveled there after how much should Ratnam agency for journey of 50km ?
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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)
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, fixed charges is Rs.5 and charge per kilometer is Rs.7
Now, amount to be paid for travelling 25km
= Fixed charge +Rs 7×25
=5+175
=Rs.180
Hence, the amount paid by a person for traveling 25km is Rs.180
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