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# M22-Q12

Author Message
SVP
Joined: 04 May 2006
Posts: 1878

Kudos [?]: 1443 [0], given: 1

Schools: CBS, Kellogg

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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!
_________________

Kudos [?]: 1443 [0], given: 1

Manager
Joined: 24 Aug 2009
Posts: 149

Kudos [?]: 125 [0], given: 46

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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!

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

Kudos [?]: 125 [0], given: 46

Manager
Joined: 18 Aug 2010
Posts: 88

Kudos [?]: 20 [0], given: 22

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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 ...

Kudos [?]: 20 [0], given: 22

Re: M22-Q12   [#permalink] 29 Jan 2011, 09:06
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# M22-Q12

Moderator: Bunuel

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