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# Pen regularly sell for $15 a pair and Pencil regularly sell  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: SVP Joined: 16 Oct 2003 Posts: 1815 Followers: 4 Kudos [?]: 49 [0], given: 0 Pen regularly sell for$15 a pair and Pencil regularly sell [#permalink]  28 Dec 2005, 08:27
Pen regularly sell for $15 a pair and Pencil regularly sell for$18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of these writing instruments: 3 pairs of Pen and 2 pairs of Pencil. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pencil? (A) 9% (B) 10% (C) 11% (D) 12% (E) 15% Director Joined: 17 Dec 2005 Posts: 552 Location: Germany Followers: 1 Kudos [?]: 11 [0], given: 0 [#permalink] 28 Dec 2005, 08:45 It's B 15*x/100= the amount saved buying three pens 18*y/100= the amount saved buying two pairs of pencils the sum of both amounts has to be$9

So:
3*15*(x/100) + 2*18*(y/100)=9

We know also that x+y=22, so that we can substitute...

45*(22-y)/100 + 36*y/100= 9...

y=10
Intern
Joined: 18 Jul 2003
Posts: 12
Followers: 0

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

B it is. I did it by picking numbers.

The cost of 3 pairs of pens + 2 pairs of pencils without discount= $45+$36=$81 If discount for pencils is @10%, discount amount=$3.6
Therefore discount for pens will be@12%,discount amount=$5.40. Total of the two discounts=$9.00
VP
Joined: 06 Jun 2004
Posts: 1059
Location: CA
Followers: 2

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

It's B

15*x/100= the amount saved buying three pens

18*y/100= the amount saved buying two pairs of pencils

the sum of both amounts has to be $9 So: 3*15*(x/100) + 2*18*(y/100)=9 We know also that x+y=22, so that we can substitute... 45*(22-y)/100 + 36*y/100= 9... y=10 Agree _________________ Don't be afraid to take a flying leap of faith.. If you risk nothing, than you gain nothing... Senior Manager Joined: 14 Apr 2005 Posts: 419 Location: India, Chennai Followers: 1 Kudos [?]: 6 [0], given: 0 Re: Pen Pencil Discount Rates [#permalink] 29 Dec 2005, 00:53 B - same working as allabout. Re: Pen Pencil Discount Rates [#permalink] 29 Dec 2005, 00:53 Similar topics Replies Last post Similar Topics: 14 Fox jeans regularly sell for$15 a pair and Pony jeans 15 30 Dec 2009, 13:34
Fox jeans regularly sell for $15 a pair, and Pony jeans 1 06 Apr 2008, 17:08 Fox jeans regularly sell for$15 a pair and pony jeans 3 03 Sep 2006, 10:01
Fox jeans regularly sell for $15 a pair and Pony jeans 6 29 May 2006, 13:46 Fox Jeans regularly sells for$15 a pair and Pony jeans 5 06 Nov 2005, 23:50
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