Carcass wrote:
The price of a car was m dollars. It then depreciated by x%. Later, it appreciated by y% to n dollars. If there are no other changes in the price and if y = x1−x100 , then which one of the following must n equal?
(A) 3m4
(B) m
(C) 4m3
(D) 3m2
(E) 2m
Choose
m=100,
x=25y= 25(1−25/100)y= 25(3/4)y=25∗43y=1003y=33.3y=13So
m depreciates by 25%. That means:
100(1−14)100(34)100(34) is the price after the depreciation. We're keeping this the way it is, and you'll see why next.
After the depreciation, the new price appreciated by y%. This means that:
100(34)(43) =
100.
So in the end, the price never changed.
The answer is B