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# PS used-book deale

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Manager
Joined: 12 Feb 2008
Posts: 177

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21 Jan 2009, 15:48
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. 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
Intern
Joined: 19 Jan 2009
Posts: 17

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21 Jan 2009, 19:37
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

Let the number of paperback books be x
and the number of hardback books be y .

so x + y = 120 .......(1)

Gross Profit = sales - dealer cost

Revenue from sales of paperback books 3x
Revenue from sales of hardback books 4y

so

3x + 4y - 120 = 300

3x + 4y = 420 .......(2)

solve the two equations we get x = y = 60

so the number of paperback books are 60.

Manager
Joined: 15 Apr 2008
Posts: 164

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22 Jan 2009, 11:44
60 paperback books sold
Re: PS used-book deale   [#permalink] 22 Jan 2009, 11:44
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