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Pen regularly sell for $15 a pair and Pencil regularly sell [#permalink] ### Show Tags 28 Dec 2005, 08:27 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%
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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 [?]: 3 [0], given: 0 ### Show Tags 28 Dec 2005, 09:14 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 Joined: 06 Jun 2004 Posts: 1059 Location: CA Followers: 2 Kudos [?]: 146 [0], given: 0 ### Show Tags 28 Dec 2005, 18:34 allabout wrote: 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
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Re: Pen Pencil Discount Rates [#permalink]

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29 Dec 2005, 00:53
B - same working as allabout.
Re: Pen Pencil Discount Rates   [#permalink] 29 Dec 2005, 00:53
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