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

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Manager
Joined: 14 Mar 2007
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In a certain clothing store, 60 percent of all the articles [#permalink]

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09 Apr 2007, 12:40
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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.

Kudos [?]: 9 [0], given: 0

Intern
Joined: 11 Feb 2007
Posts: 30

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09 Apr 2007, 13:02
good problem. i am still trying to figure it out.

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Director
Joined: 26 Feb 2006
Posts: 900

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09 Apr 2007, 13:49
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.

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Manager
Joined: 14 Mar 2007
Posts: 235

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09 Apr 2007, 13:55
Despite the answer I have i A, I found B. Why it could be A? I see no way to get there.

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GMAT Instructor
Joined: 04 Jul 2006
Posts: 1259

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09 Apr 2007, 14:37
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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VP
Joined: 03 Apr 2007
Posts: 1340

Kudos [?]: 830 [0], given: 10

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09 Apr 2007, 16:01
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%

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Director
Joined: 14 Jan 2007
Posts: 775

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09 Apr 2007, 17:59
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

kevincan, will you please suggest the best approach to solve such problems. Please explain the above problem by the chart method.

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Manager
Joined: 14 Mar 2007
Posts: 235

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10 Apr 2007, 06:35
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.

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GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5036

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Location: Singapore

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10 Apr 2007, 07:09
easily solved if you assume total number of articles is 100 and then you tabulate the figures accordingly.

Attachments

table.xls [14 KiB]

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Senior Manager
Joined: 01 Jan 2007
Posts: 322

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11 Apr 2007, 02:49
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)

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11 Apr 2007, 02:49
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