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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 Manager Joined: 12 Sep 2005 Posts: 65 Location: USofA Followers: 1 Kudos [?]: 2 [0], given: 0 Fox jeans regularly sell for$15 a pair and pony jeans [#permalink]  03 Sep 2006, 10:01
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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 pair of jean: 3 pairs of Fox and 2 pairs of Pony jeans. If the sume 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% Manager Joined: 22 Aug 2006 Posts: 57 Location: Moscow, Russia Followers: 1 Kudos [?]: 0 [0], given: 0 [#permalink] 03 Sep 2006, 12:18 Looks like the only way to do it is to plug in the numbers (e.g. Fox total undiscounted is$45, Pony total undiscounted is $36. Then if Pony is 9% off, Fox is 13% off, calculated the discounted totals, subtract them from the original, check if the diffferences add up to 9). B is the answer so it can be done in under 2 minutes if you can multiply and substract fast. I suspect there is more eklegant solution using the derivatives but can't find it _________________ ________________________________ "Amicus Plato, sed magic amica veritas" Senior Manager Joined: 14 Jul 2005 Posts: 402 Followers: 1 Kudos [?]: 13 [0], given: 0 [#permalink] 03 Sep 2006, 15:02 Got B An easier was to look at this prob. would be to say average discount per jean = 9/5 =$1.80

Now 1.8 is 10% of pony and testing with 12% for fox gives you the answer
Senior Manager
Joined: 11 May 2006
Posts: 260
Followers: 1

Kudos [?]: 10 [0], given: 0

before discount:
45$were spent on Fox and 36$ were spent on pony.
say discount on fox = x% then discount on pony = 22-x

=> 45x/100 + 36(22-x)/100 = 9

=> x = 12

so discount on pony = 22-12 = 10%

Last edited by iced_tea on 03 Sep 2006, 22:17, edited 1 time in total.
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