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# Fox jeans regularly sell for $15 a pair and Pony jeans  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: Intern Joined: 12 Mar 2004 Posts: 35 Location: Mumbai INDIA Followers: 0 Kudos [?]: 21 [0], given: 0 Fox jeans regularly sell for$15 a pair and Pony jeans [#permalink]  03 Nov 2004, 20:54
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Question Stats:

55% (01:53) correct 45% (00:47) wrong based on 11 sessions
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% [Reveal] Spoiler: OA Director Joined: 16 Jun 2004 Posts: 893 Followers: 2 Kudos [?]: 27 [0], given: 0 [#permalink] 03 Nov 2004, 22:24 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.. Manager Joined: 18 Sep 2004 Posts: 156 Location: Dallas, TX Followers: 1 Kudos [?]: 5 [0], given: 0 [#permalink] 04 Nov 2004, 09:26 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.
Senior Manager
Joined: 21 Jun 2004
Posts: 340
Followers: 1

Kudos [?]: 2 [0], given: 0

I tried the backsolve approach . I first tried with 10% and as the number was easy got the answer.

But Venks, when I see your solution, I realize how foolish Iam.

You guyz are just too good. Everyday is a new learning for me.
_________________

510 on my first GMAT. 610 on second GMAT.!
The struggle continues.

Manager
Joined: 04 Jun 2011
Posts: 189
Followers: 0

Kudos [?]: 39 [0], given: 21

Re: Fox Jeans and Pony Jeans [#permalink]  10 Sep 2011, 06:49
yup... agree... nice and easy way to crack the problem!!
Re: Fox Jeans and Pony Jeans   [#permalink] 10 Sep 2011, 06:49
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