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Manager
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Fox jeans regularly sell for $15 a pair and pony jeans [#permalink] ### Show Tags 03 Sep 2006, 10:01 00:00 Difficulty: (N/A) Question Stats: 0% (00:00) correct 0% (00:00) wrong based on 0 sessions ### HideShow timer Statistics This topic is locked. If you want to discuss this question please re-post it in the respective forum. 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
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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
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Senior Manager
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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 = $1.80 Now 1.8 is 10% of pony and testing with 12% for fox gives you the answer Senior Manager Joined: 11 May 2006 Posts: 258 Followers: 2 Kudos [?]: 23 [0], given: 0 ### Show Tags 03 Sep 2006, 22:08 before discount: 45$ 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. 03 Sep 2006, 22:08 Display posts from previous: Sort by # Fox jeans regularly sell for$15 a pair and pony jeans

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