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03 Nov 2004, 21:54
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85% (hard)

Question Stats:

59% (03:15) correct 41% (03:23) wrong based on 225 sessions

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Fox jeans regularly sell for $15 a pair and Pony jeans 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 jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans? A. 9% B. 10% C. 11% D. 12% E. 15% OPEN DISCUSSION OF THIS QUESTION IS HERE: fox-jeans-regularly-sell-for-15-a-pair-and-pony-jeans-88590.html [Reveal] Spoiler: OA Director Joined: 16 Jun 2004 Posts: 892 Followers: 3 Kudos [?]: 61 [2] , given: 0 Re: Fox jeans regularly sell for$15 a pair and Pony jeans regularly sell [#permalink]

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03 Nov 2004, 23:24
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Brute force method is the equations approach..which is,

15*3*x/100 + 18*2*y/100=9 =>5x+4y =100
Aslo, x + y = 22

Solving the above eqn's we have y=10%

If I see any other intuitive method, I will keep you informed..
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Re: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell [#permalink] ### Show Tags 04 Nov 2004, 10:26 I think this is a good example where you can use the backsolve approach. You know that Fox jeans costs$15, and Pony jeans costs $18, you also know that 3 pairs of Fox jeans and 2 pairs of Pony jeans were purchased. So 3(15) = 45 - Fox 2(18) = 36 - Pony The total discount discount is$9 and you are asked to find the percent discount of pony jeans,

so 45(.22 - .X) + 36(.X) = 9

here you can plug in numbers starting with C,

45(.22-.11)+36(.11) = 4.95 + 3.96 = 8.91 not = 9, eliminate

Move to B, as C was too small a number so the discount should be at a greater percentage for Fox jeans because we've purchased 3 pairs..

45(.12) + 36(.10) = 9 and we've got our answer.
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10 Sep 2011, 07:49
yup... agree... nice and easy way to crack the problem!!
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28 Sep 2015, 23:01
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crackgmat04 wrote:
Fox jeans regularly sell for $15 a pair and Pony jeans 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 jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans? A. 9% B. 10% C. 11% D. 12% E. 15% x discount on Pony jeans, (0.22-x) discount on Fox jeans. Set the equation: 3*15(0.22-x)+2*18x=9 --> x=0.1=10% Answer: B. OPEN DISCUSSION OF THIS QUESTION IS HERE: fox-jeans-regularly-sell-for-15-a-pair-and-pony-jeans-88590.html _________________ Re: Fox jeans regularly sell for$15 a pair and Pony jeans regularly sell   [#permalink] 28 Sep 2015, 23:01
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