In a certain clothing store, 60 percent of all the articles : PS Archive
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# In a certain clothing store, 60 percent of all the articles

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Manager
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In a certain clothing store, 60 percent of all the articles [#permalink]

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09 Apr 2007, 11:40
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In a certain clothing store, 60 percent of all the articles are imported and 20 percent of all the articles are priced at $100 or more. If 40 percent of the articles priced at$100 or more are imported, what percent of the articles priced under $100 are not imported? (A) 35% (B) 28% (C) 8% (D) 4,8% (E) 2% I solved and found an answer that for me makes sense, please solve and explain your answer. I will post the official later. Intern Joined: 11 Feb 2007 Posts: 30 Followers: 0 Kudos [?]: 0 [0], given: 0 ### Show Tags 09 Apr 2007, 12:02 good problem. i am still trying to figure it out. Director Joined: 26 Feb 2006 Posts: 904 Followers: 4 Kudos [?]: 107 [0], given: 0 Re: New set PS [#permalink] ### Show Tags 09 Apr 2007, 12:49 andrehaui wrote: In a certain clothing store, 60 percent of all the articles are imported and 20 percent of all the articles are priced at$100 or more. If 40 percent of the articles priced at $100 or more are imported, what percent of the articles priced under$100 are not imported?

(A) 35%
(B) 28%
(C) 8%
(D) 4,8%
(E) 2%

I solved and found an answer that for me makes sense, please solve and explain your answer. I will post the official later.

i = 60
ni = 40

>100 = 20
i (>100) = 8
ni(>100) = 12
ni (<100) = 40 - 12 = 28
B.
Manager
Joined: 14 Mar 2007
Posts: 235
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09 Apr 2007, 12:55
Despite the answer I have i A, I found B. Why it could be A? I see no way to get there.
GMAT Instructor
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Re: New set PS [#permalink]

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09 Apr 2007, 13:37
andrehaui wrote:
In a certain clothing store, 60 percent of all the articles are imported and 20 percent of all the articles are priced at $100 or more. If 40 percent of the articles priced at$100 or more are imported, what percent of the articles priced under $100 are not imported? (A) 35% (B) 28% (C) 8% (D) 4,8% (E) 2% I solved and found an answer that for me makes sense, please solve and explain your answer. I will post the official later. 60% are imported, and 8% are both imported and$100+. Thus 52% are imported and are less than $100. As 80% are less than$100, 52/80=65% of the less than $100 are imported, so 35% of the less than$100 are not imported.

Make a chart if you like

.................IMPORTED.............NOT IMPORTED........TOTAL

<100>100...........0.08..........................0.12.........................0.2

TOTAL.........0.6............................0.4......................1

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Re: New set PS [#permalink]

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09 Apr 2007, 15:01
andrehaui wrote:
In a certain clothing store, 60 percent of all the articles are imported and 20 percent of all the articles are priced at $100 or more. If 40 percent of the articles priced at$100 or more are imported, what percent of the articles priced under $100 are not imported? (A) 35% (B) 28% (C) 8% (D) 4,8% (E) 2% I solved and found an answer that for me makes sense, please solve and explain your answer. I will post the official later. Let the tota nos of items be 100 Imported Not_imported Total 60 40 100 The total number of imported items >=100 is 20 For:>= 100 Imported Not_imported Total 8 12 20 For:<100 Imported Not_imported Total 60-8=52 40-12=28 80 28/80*100 =35% Director Joined: 14 Jan 2007 Posts: 777 Followers: 2 Kudos [?]: 136 [0], given: 0 Re: New set PS [#permalink] ### Show Tags 09 Apr 2007, 16:59 kevincan wrote: andrehaui wrote: In a certain clothing store, 60 percent of all the articles are imported and 20 percent of all the articles are priced at$100 or more. If 40 percent of the articles priced at $100 or more are imported, what percent of the articles priced under$100 are not imported?

(A) 35%
(B) 28%
(C) 8%
(D) 4,8%
(E) 2%

I solved and found an answer that for me makes sense, please solve and explain your answer. I will post the official later.

60% are imported, and 8% are both imported and $100+. Thus 52% are imported and are less than$100. As 80% are less than $100, 52/80=65% of the less than$100 are imported, so 35% of the less than $100 are not imported. Make a chart if you like .................IMPORTED.............NOT IMPORTED........TOTAL <100>100...........0.08..........................0.12.........................0.2 TOTAL.........0.6............................0.4......................1 Answer 0.28/0.8=35% kevincan, will you please suggest the best approach to solve such problems. Please explain the above problem by the chart method. Manager Joined: 14 Mar 2007 Posts: 235 Followers: 1 Kudos [?]: 7 [0], given: 0 ### Show Tags 10 Apr 2007, 05:35 I did it by matrix method and got it wrong. The trick here is to figure out that is 28 of 80 and not 28 of 100. GMAT Club Legend Joined: 07 Jul 2004 Posts: 5062 Location: Singapore Followers: 30 Kudos [?]: 355 [0], given: 0 ### Show Tags 10 Apr 2007, 06:09 easily solved if you assume total number of articles is 100 and then you tabulate the figures accordingly. see attached spreadsheet. Attachments table.xls [14 KiB] Downloaded 64 times  To download please login or register as a user Senior Manager Joined: 01 Jan 2007 Posts: 325 Followers: 2 Kudos [?]: 24 [0], given: 0 ### Show Tags 11 Apr 2007, 01:49 andrehaui wrote: In a certain clothing store, 60 percent of all the articles are imported and 20 percent of all the articles are priced at$100 or more. If 40 percent of the articles priced at $100 or more are imported, what percent of the articles priced under$100 are not imported?

(A) 35%
(B) 28%
(C) 8%
(D) 4,8%
(E) 2%

I solved and found an answer that for me makes sense, please solve and explain your answer. I will post the official later.

Suppose there are 100 articles. Now 60% of all the articles are imported that is = 60. 20% of all articles are priced at $100 or more so 20% of 100 = 20 articles. out of which 40% are imported that means 60% of these articles that are priced$100 or more are not imported. 60% of 20 = 12 articles. so out of total 40 non-imported articles 12 have price equal to or more than $100. so 40-12=28 articles have a price under$100 . So the answere is 28%. So my answere is the choice (B)
11 Apr 2007, 01:49
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# In a certain clothing store, 60 percent of all the articles

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