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

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

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New post 11 Jan 2018, 23:34
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70% (01:25) correct 30% (01:21) wrong based on 22 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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Re: The number of hardcover books at bookstore X is 67.5% of all the books [#permalink]

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New post 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] 13 Jan 2018, 22:34
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