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# A certain used-book dealer sells paperback books at 3 times

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Manager
Joined: 09 Feb 2006
Posts: 129
Location: New York, NY
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A certain used-book dealer sells paperback books at 3 times [#permalink]  22 Mar 2006, 19:05
A certain used-book dealer sells paperback books at 3 times dealer's cost and hardback books at 4 times dealer's cost. Last week the dealer sold a total of 120 books, each of which had cost the dealer $1. If the gross profit (sales revenue minus dealer's cost) on the sale of all of these books was$300, how many of the books sold were paperbacks?
(A) 40
(B) 60
(C) 75
(D) 90
(E) 100
Director
Joined: 24 Oct 2005
Posts: 575
Location: NYC
Followers: 1

Kudos [?]: 26 [0], given: 0

60

x + y = 120
3x + 4y = 420
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Manager
Joined: 09 Feb 2006
Posts: 91
Location: Prague, CZ
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Kudos [?]: 21 [0], given: 0

I agree with B. Backsolving works fine in this case:
60 paperback books ... 120$profit 60 hardback books ..... 180$ profit
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