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%
OA:D
Source:GMATPrep EP2
In a certain bookstore, 30 percent
This topic has expert replies
Hi,
Bargain books = BB
Discounted books = DB
Total books = TB
From the prompt, we have
BB = 30% of DB
or
BB = 0.30DB
or
BB/DB = 0.30
We also know that
BB = 18% of TB
or
BB= 0.18TB
or
BB/TB = 0.18
We have to find the value of DB/TB (percent of the discounted books in the store)
from the above two equations you can work out the value of DB/TB = DB/BB * BB/TB = 1/0.30 * 0.18 = 18/30 = 0.60 = 60%
Answer : D
Bargain books = BB
Discounted books = DB
Total books = TB
From the prompt, we have
BB = 30% of DB
or
BB = 0.30DB
or
BB/DB = 0.30
We also know that
BB = 18% of TB
or
BB= 0.18TB
or
BB/TB = 0.18
We have to find the value of DB/TB (percent of the discounted books in the store)
from the above two equations you can work out the value of DB/TB = DB/BB * BB/TB = 1/0.30 * 0.18 = 18/30 = 0.60 = 60%
Answer : D
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Say the number of bargain books = B, discounted books = D, and the total number of books = N.NandishSS 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%
OA:D
Source:GMATPrep EP2
We need to find out (D/N)*100%.
So, as per the information,
B = 30% of D and B = 18% of N;
Thus, 30% of D = 18% of N => D/N = 18%/30% => (D/N)*100% = (18/30)*100% = 60%.
OA: D
-Jay
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Hi NandishSS,
This question can be solved by TESTing VALUES.
Let's start with 100 discounted books
30% of the books that have been discounted are called 'bargain books'
30% of 100 = 30 bargain books
We're told that the total number of bargain books = 18% of ALL the books in the store...
30 = .18(TOTAL books)
3000 = 18(TOTAL books)
1000 = 6(TOTAL books)
166 = TOTAL books
The question asks for the percent of the TOTAL books that are discounted books...
100/166 = 3/5 = 60%
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
This question can be solved by TESTing VALUES.
Let's start with 100 discounted books
30% of the books that have been discounted are called 'bargain books'
30% of 100 = 30 bargain books
We're told that the total number of bargain books = 18% of ALL the books in the store...
30 = .18(TOTAL books)
3000 = 18(TOTAL books)
1000 = 6(TOTAL books)
166 = TOTAL books
The question asks for the percent of the TOTAL books that are discounted books...
100/166 = 3/5 = 60%
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
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We can let the total number of discounted books = d and let the total number of books in the store = n.NandishSS 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 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
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