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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] New post 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.
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 [#permalink] New post 09 Apr 2007, 12:02
good problem. i am still trying to figure it out.
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Re: New set PS [#permalink] New post 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.
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 [#permalink] New post 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.
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Re: New set PS [#permalink] New post 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

Answer 0.28/0.8=35%
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Re: New set PS [#permalink] New post 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%
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Re: New set PS [#permalink] New post 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.
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 [#permalink] New post 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.
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 [#permalink] New post 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.
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 [#permalink] New post 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)
  [#permalink] 11 Apr 2007, 01:49
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