BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Percentage problem

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Tue Oct 09, 2012 4:46 am

Percentage problem

by pradeepfriend2000 » Fri Apr 12, 2013 11:29 pm
Can anyone please give me easy explanation for this?


Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $68 after it went on sale for 15% off, what is the difference between the original price and the final price?
A) $0.00
B) $1.00
C) $3.40
D) $5.00
E) $6.80

OA: D
Top
Source: — Problem Solving |
Junior | Next Rank: 30 Posts
Posts: 26
Joined: Sat Feb 09, 2013 1:30 pm
Thanked: 4 times

by Zarrolou » Fri Apr 12, 2013 11:33 pm
P*(85/100)=68$ [85/100 means 15% discount]
P=80$ original price

Final price = P*(85/100)*(125/100)=68*(125/100)=85$

Difference = 85-80 = 5$
Top
Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Tue Oct 09, 2012 4:46 am

by pradeepfriend2000 » Fri Apr 12, 2013 11:38 pm
Thank you so much !
Top
Senior | Next Rank: 100 Posts
Posts: 73
Joined: Sun May 06, 2012 2:19 am
Location: Cape Town
Thanked: 6 times

by rintoo22 » Sat Apr 13, 2013 3:01 am
Original price = x
15% less = 85x/100
Further in the question it is stated that 85x/100 = 68 => x = 80 (Original Price)
Price again raised by 25% on 68. Therefore new price 85

New Price (85) - Original Price (80) = 5 Answer D.
Top
User avatar
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

by GMATGuruNY » Sat Apr 13, 2013 3:04 am
pradeepfriend2000 wrote: Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $68 after it went on sale for 15% off, what is the difference between the original price and the final price?
A) $0.00
B) $1.00
C) $3.40
D) $5.00
E) $6.80
15% discount = 15/100 = 3/20.
The denominator here implies that the original price is almost certainly a multiple of 20 just a bit greater than the discounted price.
Since the discounted price = 68, the original price is probably 80:
80 less 3/20 = 80 - (3/20)80 = 80-12 = 68.
Success!
Discounted price increased by 25% = 68 + (1/4)68 = 68 + 17 = 85.
Difference between the final price and the original price = 85-80 = 5.

The correct answer is D.

Algebraically:
Since the 15% discount is equal to 3/20 of the original price, the discounted price is equal to 17/20 of the original price:
68 = (17/20)x
x = 68(20/17) = 80.
Discounted price increased by 25% = 68 + (1/4)68 = 68 + 17 = 85.
Difference between the final price and the original price = 85-80 = 5.
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
Top
Post new topic Post Reply
• Page 1 of 1