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

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

by BTGmoderatorDC » Sat Dec 29, 2018 2:15 am

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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 month was 459 .

OA D

Source: Official Guide
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Source: — Data Sufficiency |
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by Jay@ManhattanReview » Mon Dec 31, 2018 11:21 pm

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BTGmoderatorDC 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 month was 459.

OA D

Source: Official Guide
Let's take each statement one by one.

(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.

Funds needed to buy 600 (= 50*12) books = 600*$28 = $16,800 > $15,000. Thus, the library must have received the bonus. Sufficient.

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

Thus, the lowest number of items checked out in 12 months would be 459*12 = ~460*12 = 5520 > 5000.

Since it is given that if the total number of items checked out over the course of the year exceeds 5,000, the library would get the bonus, it would receive the bonus. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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