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# A certain article of clothing was discounted during a spec

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Manager
Joined: 09 Feb 2013
Posts: 121
Followers: 1

Kudos [?]: 443 [0], given: 17

A certain article of clothing was discounted during a spec [#permalink]  28 Feb 2013, 04:31
00:00

Difficulty:

25% (medium)

Question Stats:

69% (01:51) correct 31% (01:08) wrong based on 59 sessions
A certain article of clothing was discounted during a special sale to 3/4 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/2 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale?

A. 50%
B. 33.33%
C. 25%
D. 16.66%
E. 12.5%
[Reveal] Spoiler: OA

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Last edited by Bunuel on 28 Feb 2013, 05:34, edited 2 times in total.
Edited the question.
Senior Manager
Joined: 22 Nov 2010
Posts: 293
Location: India
GMAT 1: 670 Q49 V33
WE: Consulting (Telecommunications)
Followers: 5

Kudos [?]: 69 [0], given: 75

Re: A certain article of clothing was discounted during a spec [#permalink]  28 Feb 2013, 04:40
Suppose original retail price = 100.

1st discount = 76 (100 -34)
2nd discount = 50

76 - 50 = 26.

25 % of 76 is 19 & 50 % is 38. therefore, ans should be between them. Thus, B.
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Math Expert
Joined: 02 Sep 2009
Posts: 29194
Followers: 4743

Kudos [?]: 50172 [0], given: 7529

Re: A certain article of clothing was discounted during a spec [#permalink]  28 Feb 2013, 05:37
Expert's post
emmak wrote:
A certain article of clothing was discounted during a special sale to 3/4 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/2 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale?

A. 50%
B. 33.33%
C. 25%
D. 16.66%
E. 12.5%

Say the original retail price of the item was $200. The price after the first sale = 3/4 *$200 = $150. The price after the second sale = 1/2 *$200 = \$100.

The percent change from the first sale to the second = (150 - 100) / 150 = 1/3 = 33.33%.

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Re: A certain article of clothing was discounted during a spec   [#permalink] 28 Feb 2013, 05:37
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