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PS used-book deale

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PS used-book deale [#permalink]

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New post 21 Jan 2009, 16:48
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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

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New post 21 Jan 2009, 20:37
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.

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Re: PS used-book deale [#permalink]

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New post 22 Jan 2009, 12:44
60 paperback books sold

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Re: PS used-book deale   [#permalink] 22 Jan 2009, 12:44
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