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

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Fox jeans regularly sell for $15 a pair and Pony jeans [#permalink] New post 29 May 2006, 13:46
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%
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 [#permalink] New post 29 May 2006, 14:53
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%
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 [#permalink] New post 29 May 2006, 15:12
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

I´m sure there are more ways to solve this.
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explaination needed [#permalink] New post 29 May 2006, 18:30
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
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 [#permalink] New post 29 May 2006, 22:49
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%
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Re: explaination needed [#permalink] New post 30 May 2006, 15:33
[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

Similarly we can arrive at 36Y/100 as the $ discount for Pony.

When you sum the two it should equal 9
(45X/100) + (36Y/100) = 9 ---(2)

Hope this helps
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 [#permalink] New post 30 May 2006, 19:33
One more for B - 10%.

$39.60 (Fox) + $32.40 (Pony) = 72.
  [#permalink] 30 May 2006, 19:33
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