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

Redeem

Before January, the price of a dress was D and the price of

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2599
Joined: Sun Oct 29, 2017 2:08 pm
Followed by:2 members

Before January, the price of a dress was D and the price of

by AAPL » Mon Feb 25, 2019 3:22 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Magoosh

Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 5H, which of the following represents the amount that Roberta paid?

A. D + 40
B. D + H - 1
C. D + 2H
D. 5.95H
E. 1.21D

OA D
Top
Source: — Problem Solving |
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 » Mon Feb 25, 2019 3:40 am
AAPL wrote:Magoosh

Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 5H, which of the following represents the amount that Roberta paid?

A. D + 40
B. D + H - 1
C. D + 2H
D. 5.95H
E. 1.21D

Let H=100 and D=500.
D increased by 40% = 500 + (40/100)(500) = 500+200 = 700.
H increased by 50% = 100 + (50/100)(100) = 100+50 = 150.
New sum = 700+150 = 850.
Amount paid = new sum discounted by 30% = 850 - (30/100)(850) = 850-255 = 595.

The question stem asks for the amount paid.
The correct answer must yield 595 when H=100 and D=500.
Only D works:
5.95H = 5.95(100) = 595.

The correct answer is D.
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
Legendary Member
Posts: 2499
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

by swerve » Mon Feb 25, 2019 8:22 am
Price before January

Dress = D
Pair of shoes = H

Price in January
Dress = 1.4D
Pair of shoes = 1.5H

Total price = 1.4D + 1.5H

Given that D = 5H

Hence, total price = (1.4*5H) + 1.5H
Total price = 8.5H

But this was purchased at 30% of discount, therefore the total amount paid = 8.5*0.7*H = 5.95H.

Regards!
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8086
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

by Scott@TargetTestPrep » Wed Feb 27, 2019 9:07 am
AAPL wrote:Magoosh

Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 5H, which of the following represents the amount that Roberta paid?

A. D + 40
B. D + H - 1
C. D + 2H
D. 5.95H
E. 1.21D

OA D

The new price of the dress is 1.4D, and the new price of the shoes is 1.5H. When purchased at a 30% discount, the prices are 0.7 x 1.4D = 0.98D and 0.7 x 1.5H = 1.05H.

Since D = 5H, we have:

0.98(5H) + 1.05H

4.9H + 1.05H = 5.95H

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Post new topic Post Reply
• Page 1 of 1