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Re: In a certain bookstore, 30 percent of the books [#permalink]
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I personally not an individual too accustomed to construing books, then I must acknowledge that you are one of the greatest (and fastest) techniques to come across a writer and whether or not his style turns your perception.
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Re: In a certain bookstore, 30 percent of the books [#permalink]
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HKD1710 wrote:
In a certain bookstore, 30 percent of the books that have been discounted are called bargain books and are priced below $4. If the bargain books make up 18 percent of the total number of books in the store, what percent of the books in the store are discounted?

A) 13%

B) 48%

C) 54%

D) 60%

E) 88%


Let 10 books have been discounted
Bargain books = 3

3 represents 18%
1 represents 18/3
10 represents 18/3*100 = 60%

Approach is similar to that used by [b]chetan2u
, I have just plugged in some numbers...
[/b]
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Re: In a certain bookstore, 30 percent of the books [#permalink]
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Attachment:
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1.png [ 53.43 KiB | Viewed 20588 times ]


\(\frac{(0.3X)}{T}* 100 = 18\)

\(\frac{X}{T}* 100 = 60%\)

REMEMBER WE ARE ASKED THE PERCENTAGE OF DISCOUNTED BOOKS i.e., which is \(\frac{X}{T}*100\) i.e., 60%.

Hence D is the correct choice.
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Re: In a certain bookstore, 30 percent of the books [#permalink]
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The fact that "they are priced below $4" is completely irrelevant, right?
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Re: In a certain bookstore, 30 percent of the books [#permalink]
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If the total number of books in the store is 100, then 18% is 18.

18 books are bargain books, which are 30% of the discounted books. So there are 60 discounted books. 60 is 60% of 100.

Agree, give kudos! Have a better method, please comment.
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Re: In a certain bookstore, 30 percent of the books [#permalink]
Bargain = 18% of total = 18/100 of total
Bargain = 30% of discounted = 3/10 of discounted

So 100% is the reciprocal of 30% (10/3) multiplied by the percentage of the total

18/100 * 10/3 = 180/300 = 60/100
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Re: In a certain bookstore, 30 percent of the books [#permalink]
ScottTargetTestPrep wrote:
HKD1710 wrote:
In a certain bookstore, 30 percent of the books that have been discounted are called bargain books and are priced below $4. If the bargain books make up 18 percent of the total number of books in the store, what percent of the books in the store are discounted?

A) 13%

B) 48%

C) 54%

D) 60%

E) 88%


We can let the total number of discounted books = d and let the total number of books in the store = n.

We need to determine what percent of the books in the store are discounted or d/n x 100 = ?

Since 30 percent of the books that have been discounted are called bargain books, bargain books = 0.3d

Since bargain books make up 18% of the total books in the store, bargain books = 0.18n

Thus, we can equate 0.3d and 0.18n and isolate d/n.

0.3d = 0.18n

30d = 18n

d/n = 18/30 = 3/5

Thus d/n x 100 = 3/5 x 100 = 60 percent.

Answer: D


Hi Guys, could anyone tell me why you would divide 18/30 instead of 30/18?
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Re: In a certain bookstore, 30 percent of the books [#permalink]
Expert Reply
GloryBoy92 wrote:
ScottTargetTestPrep wrote:
HKD1710 wrote:
In a certain bookstore, 30 percent of the books that have been discounted are called bargain books and are priced below $4. If the bargain books make up 18 percent of the total number of books in the store, what percent of the books in the store are discounted?

A) 13%

B) 48%

C) 54%

D) 60%

E) 88%


We can let the total number of discounted books = d and let the total number of books in the store = n.

We need to determine what percent of the books in the store are discounted or d/n x 100 = ?

Since 30 percent of the books that have been discounted are called bargain books, bargain books = 0.3d

Since bargain books make up 18% of the total books in the store, bargain books = 0.18n

Thus, we can equate 0.3d and 0.18n and isolate d/n.

0.3d = 0.18n

30d = 18n

d/n = 18/30 = 3/5

Thus d/n x 100 = 3/5 x 100 = 60 percent.

Answer: D


Hi Guys, could anyone tell me why you would divide 18/30 instead of 30/18?


Because it asks: “what percent of the books in the store are discounted?” That is discounted books divided by total number of books, or d/n. To find d/n from the equation 30d = 18n; you would first divide each side by 30 and then by n.
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Re: In a certain bookstore, 30 percent of the books [#permalink]
Let the total number of books = 100
bargain books = 18 % of 100 books = 18
Let total books that was discounted = X

We need to find the percentage of total books that were discounted?

Since bargain books = 30 % of X and we know the total bargain books, we can determine X

0.3X = 18
The X = 60

(60/100)*100 = 60% of the total books in the store were discounted.
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Re: In a certain bookstore, 30 percent of the books [#permalink]
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Re: In a certain bookstore, 30 percent of the books [#permalink]
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