In a certain bookstore, 30 percent of the books

Question

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%

A) 13%

B) 48%

C) 54%

D) 60%

E) 88%

chetan2u · Accepted Answer

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

ScottTargetTestPrep · Answer

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

CourtneyNathan16 · Answer

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.

Abhishek009 · Answer

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  chetan2u  , I have just plugged in some numbers...

Nevernevergiveup · Answer

1.png \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.

wizzard · Answer

The fact that  "they are priced below $4"  is completely irrelevant, right?

Cez005 · Answer

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.

wally530 · Answer

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

GloryBoy92 · Answer

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

ScottTargetTestPrep · Answer

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.

abuc0112 · Answer

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.

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

In a certain bookstore, 30 percent of the books

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

In a certain bookstore, 30 percent of the books

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards