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# For a certain city's library, the average cost of purchasing each new

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For a certain city's library, the average cost of purchasing each new  [#permalink]

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26 Jun 2017, 03:10
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55% (hard)

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65% (02:03) correct 35% (02:23) wrong based on 185 sessions

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For a certain city's library, the average cost of purchasing each new book is \$28. The library receives \$15,000 from the city each year; the library also receives a bonus of \$2,000 if the total number of items checked out over the course of the year exceeds 5,000. Did the library receive the bonus last year?

(1) The library purchased an average of 50 new books each month last year and received enough money from the city to cover this cost.
(2) The lowest number of items checked out in one moth was 459.

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Re: For a certain city's library, the average cost of purchasing each new  [#permalink]

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26 Jun 2017, 03:53
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Bunuel wrote:
For a certain city's library, the average cost of purchasing each new book is \$28. The library receives \$15,000 from the city each year; the library also receives a bonus of \$2,000 if the total number of items checked out over the course of the year exceeds 5,000. Did the library receive the bonus last year?

(1) The library purchased an average of 50 new books each month last year and received enough money from the city to cover this cost.
(2) The lowest number of items checked out in one moth was 459.

(1) The total number of new books that the library purchased last year: 50 * 12 = 600 items < 5,000
=> The library didn't receive the bonus. Sufficient

(2) The total number of items checked out last year is equal to or greater than: 459 * 12 = 5,508 > 5,000
=> The library did receive the bonus. Sufficient.

The answer is D.
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Re: For a certain city's library, the average cost of purchasing each new  [#permalink]

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26 Jun 2017, 04:19
For a certain city's library, the average cost of purchasing each new book is \$28. The library receives \$15,000 from the city each year; the library also receives a bonus of \$2,000 if the total number of items checked out over the course of the year exceeds 5,000. Did the library receive the bonus last year?

(1) The library purchased an average of 50 new books each month last year and received enough money from the city to cover this cost

50 * 12 = 600 - Which is less than \$ 5000 ===> Hence, Library did not receive the Bonus =====> (1) is SUFFICIENT

(2) The lowest number of items checked out in one moth was 459

459 * 12 = (459 * 10) + (459 * 2) = 4590+918 = 5508 > 5000 ===> Hence, Library did receive the Bonus =====> (2) is SUFFICIENT

Hence, Answer is D
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Re: For a certain city's library, the average cost of purchasing each new  [#permalink]

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26 Jun 2017, 05:26
Bunuel wrote:
For a certain city's library, the average cost of purchasing each new book is \$28. The library receives \$15,000 from the city each year; the library also receives a bonus of \$2,000 if the total number of items checked out over the course of the year exceeds 5,000. Did the library receive the bonus last year?

(1) The library purchased an average of 50 new books each month last year and received enough money from the city to cover this cost.
(2) The lowest number of items checked out in one moth was 459.

(1) 50 new books each month = 600 new books in the year = \$16,800 spent in buying these books > \$15000...Sufficient

(2) minimum 459 books per month checked out = minimum 459*12 books checked in the year >5000...Sufficient

D
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Re: For a certain city's library, the average cost of purchasing each new  [#permalink]

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16 Jul 2017, 04:45
ydmuley and nguyendinhtuong

In GMAT statement 1 & 2 must give the same solution, in this case either library received the bonus or not received the bonus, in your solution statement 1 says bonus was not received and statement 1 says bonus was received. So I am doubtful about it.

Moreover, your interpretation for the statement 1 does not look right.

Statement (1) The library purchased an average of 50 new books each month last year and received enough money from the city to cover this cost.

Library spent 50 * 12 * 28 = 16,800 which is greater than 15,000 the money library receives each year by the city, so library must have received the bonus of 2000 to cover the extra cost of 1,800 hence sufficient.
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Re: For a certain city's library, the average cost of purchasing each new  [#permalink]

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17 Jul 2017, 15:19
I understand the answer is (D), but I have a bit of issue with statement (1), which says that "The library...received enough money from the city to cover the cost".

The text of the question doesn't say the \$2000 is coming from the city....Should I have linked the word "also" to the fact it comes from the city, just as well as the \$15000?
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Re: For a certain city's library, the average cost of purchasing each new  [#permalink]

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17 Jul 2017, 15:28
This question is confusing! The condition to receive the bonus and the part of purchasing books is not well defined imo. (thats why there is a large number of B answers, ppl don't understand the 1) statement)
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Re: For a certain city's library, the average cost of purchasing each new  [#permalink]

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26 Jul 2017, 11:40
the first statement tells didnt receive bonus. The second tell receive bonus. i think the issue is confusing . how that is possible?
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Re: For a certain city's library, the average cost of purchasing each new  [#permalink]

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18 Mar 2019, 11:51
Mahamudul608 wrote:
the first statement tells didnt receive bonus. The second tell receive bonus. i think the issue is confusing . how that is possible?

Hi Mahamudul608 both the statement tells Lib received bonus, please review below solution for more reference.

1) 50 new books each month = 50*12 = 600 new books in the year = \$16,800 spent in buying these books > \$15000 hence sufficient

2) Min 459 books per month checked out = minimum (500*11) + 459 books checked in the year >5000 hence sufficient

Hence - D
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Re: For a certain city's library, the average cost of purchasing each new   [#permalink] 18 Mar 2019, 11:51
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