Bunuel
Car X gets 25 percent more miles per gallon of gasoline than Car Y does. However, Car X requires premium gasoline that costs 10 percent more than regular gasoline used by Car Y. If the two cars are driven equal distances, what percent less than the money spent on gasoline for Car Y is the money spent on gasoline for Car X?
(A) 22.5%
(B) 17.5%
(C) 15%
(D) 12%
(E) 10%
Let \(y\) travel \(100\) miles per gallon
Then \(x\) goes \(125\) miles per gallon
Let the fuel for \(y\) cost \(100 \) per gallon
Then the fuel for \(x\) will cost \(110\) per gallon
So \(x\) goes \(125 \) miles in \(110\) Dollars
and \(y \) goes \(100\) miles in \(100 \) Dollars
Let both travel 100 miles.
For \(100 \) miles travelling in \(x\) will cost \(88\)
for \(100\) miles travelling in \(y\) will cost \(100\)
Travelling in \(x\) costs \(\frac{100-88}{100}*100 = 12\%\) less than travelling in \(y.\)
Ans D
Hope it's clear