M22-Q12 : Retired Discussions [Locked]
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# M22-Q12

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SVP
Joined: 04 May 2006
Posts: 1926
Schools: CBS, Kellogg
Followers: 23

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09 Sep 2009, 19:13
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
Joined: 24 Aug 2009
Posts: 149
Followers: 5

Kudos [?]: 99 [0], given: 46

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09 Sep 2009, 20:33
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!

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
Manager
Joined: 17 Aug 2010
Posts: 90
Followers: 1

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29 Jan 2011, 08:06
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, 08:06
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# M22-Q12

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