vinay1983 wrote:A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?
A. 20
B. 25
C. 30
D. 40
E. 50
The jersey's original list price is irrelevant here, since the question asks us to find what
percent of the list price is the lowest possible sale price?
Notice that the LOWEST possible sale price occurs when the first discount is MAXIMIZED. That is, when the first discount is 50 percent off the list price. This is followed by a 20% discount.
At this point, we can calculate the answer faster if we use an original list price of
$100.
A 50% discount results in a sale price of $50
From here, a further 20% discount results in a summer sale price of
$40
$40 is [spoiler]40%[/spoiler] of
$100
Answer:
D
Aside: Notice that we get the same answer if we use an original list price of
$80.
A 50% discount results in a sale price of $40
From here, a further 20% discount results in a summer sale price of
$32
$32 is [spoiler]40%[/spoiler] of
$80
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
