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# Fox jeans sells for \$15 a pair and Pony Jeans sells for \$18

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Manager
Joined: 01 Sep 2003
Posts: 72

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Location: NYC
Fox jeans sells for \$15 a pair and Pony Jeans sells for \$18 [#permalink]

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30 Dec 2003, 13:21
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Fox jeans sells for \$15 a pair and Pony Jeans sells for \$18 a pair. During a sale, these prices are discounted at different rates so that a total of \$9 is saved by purchasing 5 pairs of jeans. 3 pairs of Fox jeans and 2 of Pony jeans. If the sum of the discount is 22%, what is the discount rate on Pony jeans?

Last edited by ftoor on 30 Dec 2003, 13:59, edited 1 time in total.

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Manager
Joined: 01 Sep 2003
Posts: 72

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Location: NYC

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30 Dec 2003, 17:55

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GMAT Club Legend
Joined: 15 Dec 2003
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30 Dec 2003, 18:41
Indeed a very hard and certainly very calculation intensive problem. An explanation here would be appreciated here.
_________________

Best Regards,

Paul

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Director
Joined: 13 Nov 2003
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Location: Florida

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30 Dec 2003, 20:21
ftoor wrote:

not hard at all..

3*X%*15 + 2*Y%*18=9 --- (1)
X + Y = 22 -------------------(2)

(1) will be.. 45X + 36Y = 900
solve for Y

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Director
Joined: 28 Oct 2003
Posts: 501

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Location: 55405

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30 Dec 2003, 21:24
This problem would be better written as a DS problem.

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SVP
Joined: 30 Oct 2003
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Location: NewJersey USA

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10 Jan 2004, 20:12
total cost of shopping with normal prices
let F be discount on fox and P be discount on pony

we know that
3*15 * f/100 + 2*18 * p/100 = 9

0.45f + 0.36p = 9 and also
f+0.36/0.45p = 9/0.45 = 20
f+p = 22
from these two equations
p-0.36/0.45p = 2
p( 0.09 ) = 0.45*2 = 0.9
p = 10%

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10 Jan 2004, 20:12
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