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Expert replies
by imadummy » Tue Jun 03, 2008 1:36 pm
I bet this is kind of easy and I can solve by backsolving but was hoping for some help on the "real" way.

A retailer has a sale on hooded sweatshirts. When you buy one you get a second identical sweatshirt for 25 percent. Andrew buys two and pays a total of 175 dollars. How much did he pay for the first sweatshirt?

43.75
75
100
131.25
140
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Source: — Problem Solving |

by VP_RedSoxFan » Tue Jun 03, 2008 1:36 pm
The algebra here is pretty straightforward, I think, so stop me if I put up something crazy here:

Original sweatshirt price = x
Price of second, discounted sweatshirt = 0.75x

Therefore, since the two sweatshirts cost $175, we can write x + 0.75x = 175.

x = 100, Answer = [C]
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by imadummy » Tue Jun 03, 2008 1:50 pm
Duh. Grrr. I knew that would be easy. Thanks.
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by llewellyn27 » Tue Jun 03, 2008 3:31 pm
is the second sweater 25% off or does the sweater cost 25%

Depending

The answer could be 140
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by zacharyz » Wed Jun 04, 2008 6:13 am
llewellyn27 wrote:is the second sweater 25% off or does the sweater cost 25%

Depending

The answer could be 140
I agree. It sounds like the sweater is 25% (of the original cost). In this case, $140 is the right answer:

original shirt: x
discounted shirt: .25 x

Therefore $175 = x(1+.25) => x = $140

One of them is a trick answer, depending on its wording. As written, I think $140 is right. If you left off the 'off,' then revert back to $100.
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by niraj_a » Wed Jun 04, 2008 9:13 am
agreed

i wish gmat would give that question in the first 10, i would be a happy camper....
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