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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.

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.

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.

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

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.

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)