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Pen regularly sell for $15 a pair and Pencil regularly sell

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SVP
SVP
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Joined: 16 Oct 2003
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Pen regularly sell for $15 a pair and Pencil regularly sell [#permalink] New post 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
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 [#permalink] New post 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
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 [#permalink] New post 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
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 [#permalink] New post 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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Senior Manager
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Re: Pen Pencil Discount Rates [#permalink] New post 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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