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# Fox jeans regularly sell for $15 a pair and Pony jeans  post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message Intern Joined: 29 May 2006 Posts: 2 Followers: 0 Kudos [?]: 0 [0], given: 0 Fox jeans regularly sell for$15 a pair and Pony jeans [#permalink]

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29 May 2006, 14:46
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Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for$18 a pair. During a sale those regular units 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 2 discounts rate is 22%, what is the discount rate on Pony jeans? A) 9% B) 10% C) 11% D) 12% E) 15% Manager Joined: 29 Sep 2005 Posts: 125 Followers: 1 Kudos [?]: 2 [0], given: 0 ### Show Tags 29 May 2006, 15:53 Fox jeans regularly sell for$15 a pair and Pony jeans regularly sell for $18 a pair. During a sale those regular units 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 2 discounts rate is 22%, what is the discount rate on Pony jeans?

A) 9%
B) 10%
C) 11%
D) 12%
E) 15%

_________________________________________________

I would go with B) --10%

This question took me a little over 2 mins. Does anyone have a faster way of solving this?

Let X be discount % for fox jeans and Y be discount % for Pony

Sum of 2 discounts is 22%
So,

X + Y = 22 ----(1)

Now we know that $9 are saved due to both the discounts, and that 3 fox jeans cost$45 and 2 Pony jeans cost $36 So, (45X/100) + (36Y/100) = 9 ---(2) Solving 1 and 2 for Y, You will get Y = 10% Manager Joined: 25 May 2006 Posts: 227 Followers: 1 Kudos [?]: 64 [0], given: 0 ### Show Tags 29 May 2006, 16:12 Hi, I got B) With no discount: 15(3)+18(2)=81 With discount: 45(f)+ 36(p)=72 = 5(f)+4(p)=8 (8 is my Target) By Plug-in answers I got B) 5(.88) + 4(.9)=8 IÂ´m sure there are more ways to solve this. Intern Joined: 19 May 2006 Posts: 5 Followers: 0 Kudos [?]: 0 [0], given: 0 explaination needed [#permalink] ### Show Tags 29 May 2006, 19:30 tapan22 please explain the 2nd equation as part of the simultaneous equation: 45X/100 + 36Y/100 = 9.... 9 is the money saved, so please explain how this works SVP Joined: 30 Mar 2006 Posts: 1730 Followers: 1 Kudos [?]: 82 [0], given: 0 ### Show Tags 29 May 2006, 23:49 The original cost of jeans without discount = 81 Hence the discounted price is 72 (they saved 9 dollars) Let x be the discount on F jeans and 22-x for P jeans The equation we get is 3(15-15*x/100) + 2(18-18*(22-x)/100) = 72 Solving we get x = 12 and therfore discount for P jeans is 22-12 =10% Manager Joined: 29 Sep 2005 Posts: 125 Followers: 1 Kudos [?]: 2 [0], given: 0 Re: explaination needed [#permalink] ### Show Tags 30 May 2006, 16:33 [quote="akvenky"]tapan22 please explain the 2nd equation as part of the simultaneous equation: 45X/100 + 36Y/100 = 9.... 9 is the money saved, so please explain how this works[/quote] akvenky, The sum of the discounts is$9
Since X% is discount on Fox jeans--- the $discount for Fox is (X/100)*45 where 45 = 3jeans@$15 each