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# The number of hardcover books at bookstore X is 67.5% of all the books

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Math Expert
Joined: 02 Sep 2009
Posts: 56272
The number of hardcover books at bookstore X is 67.5% of all the books  [#permalink]

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11 Jan 2018, 23:34
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Difficulty:

35% (medium)

Question Stats:

75% (01:24) correct 25% (01:40) wrong based on 44 sessions

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The number of hardcover books at bookstore X is 67.5% of all the books at the store, while the number of hardcover books at bookstore Y is 66.9% of all the books in that store. How many hardcover books are at bookstore Y?

(1) There is the same number of books at both stores.
(2) There are 20,000 more hardcover books at bookstore X than there are at bookstore Y.

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Joined: 23 Feb 2017
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Re: The number of hardcover books at bookstore X is 67.5% of all the books  [#permalink]

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13 Jan 2018, 22:34
The total no of books at Store X = B1
The total no of books at Store Y = B2

The number of hardcover books at bookstore X = 0.675*B1
The number of hardcover books at bookstore Y = 0.669*B2

Statement 1 There is the same number of books at both stores.
B1= B2
The number of hardcover books at bookstore Y = 0.669*B1
Not Sufficient

Statement 2 There are 20,000 more hardcover books at bookstore X than there are at bookstore Y.
0.675*B1- 0.669*B2 = 20,000
Not Sufficient

Combined Statement 1 & Statement 2

B1=B2= B

0.675*B - 0.669*B = 20000

B= 20000*1000/6

Hardcover books are at bookstore Y = 0.669 * 20000*1000/6

Ans. C
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Re: The number of hardcover books at bookstore X is 67.5% of all the books  [#permalink]

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26 Mar 2019, 22:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The number of hardcover books at bookstore X is 67.5% of all the books   [#permalink] 26 Mar 2019, 22:07
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