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# In a certain bookstore, 30 percent of the books

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In a certain bookstore, 30 percent of the books  [#permalink]

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15 May 2016, 09:54
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Difficulty:

15% (low)

Question Stats:

81% (00:53) correct 19% (00:54) wrong based on 358 sessions

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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% _________________ --------------------------------------------------------------- Target - 720-740 Project PS Butler - https://gmatclub.com/forum/project-ps-butler-practice-everyday-280904.html http://gmatclub.com/forum/information-on-new-gmat-esr-report-beta-221111.html http://gmatclub.com/forum/list-of-one-year-full-time-mba-programs-222103.html ##### Most Helpful Expert Reply Math Expert Joined: 02 Aug 2009 Posts: 7211 Re: In a certain bookstore, 30 percent of the books [#permalink] ### Show Tags 15 May 2016, 10:04 3 4 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%

discounted books = D..
.3 *D = bargain books = B..
NOW B = .18 T..
so $$.3D = .18*T$$ so $$\frac{D}{T} = \frac{.18}{.3} = .6$$or 60%
D
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##### General Discussion
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Re: In a certain bookstore, 30 percent of the books  [#permalink]

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17 Oct 2016, 03:39
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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17 Oct 2016, 06:52
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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] _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 4596 Location: United States (CA) Re: In a certain bookstore, 30 percent of the books [#permalink] ### Show Tags 18 Oct 2016, 08:19 4 1 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.

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Re: In a certain bookstore, 30 percent of the books  [#permalink]

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29 Oct 2016, 00:11
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Attachment:

1.png [ 53.43 KiB | Viewed 8218 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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21 Nov 2016, 17:00
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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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14 Apr 2017, 16:11
2
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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Joined: 08 Oct 2018
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Re: In a certain bookstore, 30 percent of the books  [#permalink]

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12 Dec 2018, 08:47
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
Re: In a certain bookstore, 30 percent of the books &nbs [#permalink] 12 Dec 2018, 08:47
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