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# Fox jeans regularly sell for \$15 a pair and Pony jeans regularly sell

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Intern
Joined: 12 Mar 2004
Posts: 35

Kudos [?]: 80 [1], given: 0

Location: Mumbai INDIA
Fox jeans regularly sell for \$15 a pair and Pony jeans regularly sell [#permalink]

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03 Nov 2004, 21:54
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Difficulty:

85% (hard)

Question Stats:

58% (02:11) correct 42% (03:14) wrong based on 250 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

Kudos [?]: 80 [1], given: 0

Director
Joined: 16 Jun 2004
Posts: 891

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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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Manager
Joined: 18 Sep 2004
Posts: 150

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Location: Dallas, TX
Re: Fox jeans regularly sell for \$15 a pair and Pony jeans regularly sell [#permalink]

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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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Senior Manager
Joined: 21 Jun 2004
Posts: 336

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Re: Fox jeans regularly sell for \$15 a pair and Pony jeans regularly sell [#permalink]

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04 Nov 2004, 19:49
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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.

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Manager
Joined: 04 Jun 2011
Posts: 182

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Re: Fox jeans regularly sell for \$15 a pair and Pony jeans regularly sell [#permalink]

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10 Sep 2011, 07:49
yup... agree... nice and easy way to crack the problem!!

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Non-Human User
Joined: 09 Sep 2013
Posts: 15474

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Re: Fox jeans regularly sell for \$15 a pair and Pony jeans regularly sell [#permalink]

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28 Sep 2015, 10:57
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Math Expert
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Re: Fox jeans regularly sell for \$15 a pair and Pony jeans regularly sell [#permalink]

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28 Sep 2015, 23:01
Expert's post
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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%

OPEN DISCUSSION OF THIS QUESTION IS HERE: fox-jeans-regularly-sell-for-15-a-pair-and-pony-jeans-88590.html
_________________

Kudos [?]: 133300 [0], given: 12445

Re: Fox jeans regularly sell for \$15 a pair and Pony jeans regularly sell   [#permalink] 28 Sep 2015, 23:01
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