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 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum 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%
Q/A-B
Target Test Prep is 20% off right now!
Use code FLASH20
Available with Beat the GMAT members only code
MORE DETAILS
word problem-percentages
This topic has expert replies
-
Ankitaverma
- Senior | Next Rank: 100 Posts
- Posts: 72
- Joined: Tue Nov 05, 2013 4:35 pm
- Followed by:4 members
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Selling price of 2 Pony jeans = 2*18 = 36.Ankitaverma wrote: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 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum 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%
Q/A-B
Selling price of 3 Fox jeans = 3*15 = 45.
We can plug in the answers, which represent the discount on Pony Jeans.
The percentages in A, C, and D -- 9%, 11% and 12% -- will yield very messy values.
Thus, the correct answer choice is likely to be B or E -- whichever yields a total discount of $9.
Answer choice B: 10% discount on Pony jeans, implying a 12% discount on Fox Jeans
Total discount = (0.1)(36) + (0.12)(45) = 3.6 + 5.4 = $9.
Succcess!
The correct is B.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
-
tsrajkumar
- Newbie | Next Rank: 10 Posts
- Posts: 2
- Joined: Thu Dec 12, 2013 9:41 pm
Df - discount for Fox jeans,Dp for pony jeans
3*15*Df +2*18*Dp =$9 [ Total Cost * Discount rate]
Df+Dp=0.22
Solve for Dp. Will be easier to solve if you convert $9 to $900 and 0.22 to 22.
3*15*Df +2*18*Dp =$9 [ Total Cost * Discount rate]
Df+Dp=0.22
Solve for Dp. Will be easier to solve if you convert $9 to $900 and 0.22 to 22.
