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If the Lincoln Library's total expenditure for books, periodicals, and

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Kudos [?]: 124212 [0], given: 12075

If the Lincoln Library's total expenditure for books, periodicals, and [#permalink]

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New post 05 Sep 2017, 00:02
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If the Lincoln Library's total expenditure for books, periodicals, and newspapers last year was $44,000, how much of the expenditure was for books?

(1) The expenditure for books was 20 percent greater than the total expenditure for periodicals and newspapers.
(2) The total of the expenditure for books and newspapers was twice the expenditure for periodicals.
[Reveal] Spoiler: OA

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Kudos [?]: 124212 [0], given: 12075

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Kudos [?]: 39 [0], given: 53

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If the Lincoln Library's total expenditure for books, periodicals, and [#permalink]

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New post 05 Sep 2017, 00:24
Find total expenditure on Books.

Let expenditure on Books = b , Newspaper = n and periodicals = p

given : b+n+p = 44,000

(1) The expenditure for books was 20 percent greater than the total expenditure for periodicals and newspapers.
=> b = (1+20/100) * (p+n)
=> b=1.2*(p+n) Sufficient as we can find value of b from here


as b+p+n = 44000
=> 1.2(p+n)+(p+n)=44000
=>2.2(p+n)=44000
=>(p+n) = 44000/2.2 =20000
so b = 1.2 (20000) = 24000 or b = 44000-20000 = 24000

Sufficient

(2) The total of the expenditure for books and newspapers was twice the expenditure for periodicals.
=> (b+n)=2p
By this if we calculate we can find b+n but will not be able to find value of b alone. Not sufficient.

(b+n)=2p
so b+n+p=44000
=> 2p+p =44000
=>3p=44000
=>p=44000/3
=> b+n = 2* (44000/3) = 88000/3

Here we know b+n but we cannot find b alone.

Not sufficient

Answer: A

Kudos [?]: 39 [0], given: 53

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Kudos [?]: [0], given: 3

Re: If the Lincoln Library's total expenditure for books, periodicals, and [#permalink]

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New post 05 Sep 2017, 00:32
Bunuel wrote:
If the Lincoln Library's total expenditure for books, periodicals, and newspapers last year was $44,000, how much of the expenditure was for books?

(1) The expenditure for books was 20 percent greater than the total expenditure for periodicals and newspapers.
(2) The total of the expenditure for books and newspapers was twice the expenditure for periodicals.

1. b=1.2 (p+n)
b+p+n= 44,000
2.2 (p+n)=44,000
p+n=20,000
b=24,000 Suf.
2. b+n=2p
3p=44,000
p=44,000/3
b-? Not suf/

Answer A

Kudos [?]: [0], given: 3

Re: If the Lincoln Library's total expenditure for books, periodicals, and   [#permalink] 05 Sep 2017, 00:32
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