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

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29 May 2006, 14:46

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 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?

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,