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# Pen regularly sell for $15 a pair and Pencil regularly sell  post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message SVP Joined: 16 Oct 2003 Posts: 1811 Followers: 4 Kudos [?]: 96 [0], given: 0 Pen regularly sell for$15 a pair and Pencil regularly sell [#permalink]

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28 Dec 2005, 09:27
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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: 548 Location: Germany Followers: 1 Kudos [?]: 29 [0], given: 0 [#permalink] ### Show Tags 28 Dec 2005, 09:45 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
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28 Dec 2005, 10:14
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
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28 Dec 2005, 19:34
It's B

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

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