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M22-Q12

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SVP
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Joined: 04 May 2006
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Schools: CBS, Kellogg
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M22-Q12 [#permalink] New post 09 Sep 2009, 20:13
A bookstore sells new books for $15 each and used books for $10 each. On every new book, the store makes a profit of $5 while on every used book it makes a profit of $2. If on a given day the bookstore's sales amounted to $125, which of the following cannot be the profit made on that day?

$27
$31
$35
$39
$41

Guys, how to find the maximum book sold? Thanks!
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Manager
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Joined: 24 Aug 2009
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Re: M22-Q12 [#permalink] New post 09 Sep 2009, 21:33
sondenso wrote:
A bookstore sells new books for $15 each and used books for $10 each. On every new book, the store makes a profit of $5 while on every used book it makes a profit of $2. If on a given day the bookstore's sales amounted to $125, which of the following cannot be the profit made on that day?

$27
$31
$35
$39
$41

Guys, how to find the maximum book sold? Thanks!


answer is E - 41

41 can be 35 + 6;25+16;15+26;5+36 which leaves the number of books sold as 7 new+3 old;5 new+8 old:3 new+13 old;1 new +18 old and all these cost prices is not equal to 125$ hence E is not possilbe
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Re: M22-Q12 [#permalink] New post 29 Jan 2011, 09:06
if anyone is still interested :)

3x+2y=25
X is maximum when y is minimum . you have to minimize y.
start with y=0 , u will see that y is min. at y=2.
when y=2 x=7

hope that helps ...
Re: M22-Q12   [#permalink] 29 Jan 2011, 09:06
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