• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to $200 Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code ## Veritas PS Practice Q8 tagged by: Brent@GMATPrepNow This topic has 3 expert replies and 1 member reply rbakerv Newbie | Next Rank: 10 Posts Joined 20 Feb 2015 Posted: 4 messages #### Veritas PS Practice Q8 Tue Feb 24, 2015 2:56 pm Elapsed Time: 00:00 • Lap #[LAPCOUNT] ([LAPTIME]) To save money, Arkadelphia Cream Cheese will reduce each dimension of its rectangular box container (which is entirely full of cream cheese) by 50%, and reduce the price it charges its consumers by 50% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cream cheese? No change 50% 100% 300% 400% Veritas Answer is: D Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums! ### GMAT/MBA Expert GMATGuruNY GMAT Instructor Joined 25 May 2010 Posted: 13361 messages Followed by: 1779 members Thanked: 12885 times GMAT Score: 790 Tue Feb 24, 2015 3:02 pm Quote: To save money, Arkadelphia Cream Cheese will reduce each dimension of its rectangular box container (which is entirely full of cream cheese) by 50%, and reduce the price it charges its consumers by 50% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cream cheese? No change 50% 100% 300% 400% Old box: Let e = 2 inches. Volume = e³ = 2³ = 8 cubic inches. Let the total price =$8.
Thus:
Price per cubic inch = (total price)/volume = 8/8 = $1. New box: Edge reduced by 50% = 50% of 2 inches = 1 inch. New volume = 1³ = 1 cubic inch. Price reduced by 50% = 50% of$8 = $4. Thus: New price per cubic inch = (new price)/(new volume) = 4/1 =$4.

To make sure that we choose the correct answer choice, PLUG IN THE ANSWERS.
When the correct percentage is added to the old price per cubic inch -- $1 -- the resulting price must be$4.

Adding 300% to $1, we get: 1 + (300/100)(1) = 1+3 = 4. Success! The correct answer is D. _________________ Mitch Hunt GMAT Private Tutor GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "Thank" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert Brent@GMATPrepNow GMAT Instructor Joined 08 Dec 2008 Posted: 10763 messages Followed by: 1212 members Thanked: 5146 times GMAT Score: 770 Tue Feb 24, 2015 3:07 pm rbakerv wrote: To save money, Arkadelphia Cream Cheese will reduce each dimension of its rectangular box container (which is entirely full of cream cheese) by 50%, and reduce the price it charges its consumers by 50% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cream cheese? A) No change B) 50% C) 100% D) 300% E) 400% This question is well suited to PLUGGING in nice values. Let's say that the ORIGINAL dimensions of the box are 2x2x2, which means the volume is 8 cubic inches. For convenience, let's say the ORIGINAL price is$8.
So, the consumer pays $1 per cubic inch Now, we'll examine the ALTERED box. If each side is reduced by 50%, then each side has length 1. In other words, the dimensions of the ALTERED box are 1x1x1, which means the volume is 1 cubic inch. If the price of the cheese is reduced by 50%, the NEW PRICE is$4.
So, the consumer pays $4 per cubic inch The price per cubic inch increases from$1 per cubic inch to \$4 per cubic inch, which represents a PERCENT INCREASE of 300%

Cheers,
Brent

_________________
Brent Hanneson – Founder of GMATPrepNow.com
Use our video course along with

Check out the online reviews of our course
Come see all of our free resources

GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

### GMAT/MBA Expert

Rich.C@EMPOWERgmat.com Elite Legendary Member
Joined
23 Jun 2013
Posted:
8703 messages
Followed by:
460 members
Thanked:
2732 times
GMAT Score:
800
Tue Feb 24, 2015 6:37 pm
Hi rbakerv,

I'm a big fan of TESTing VALUES in these types of questions. That approach puts real numbers in front of you and makes the math really easy to handle. This question can also be solved with Algebra/Geometry though:

We're told that each dimension of a rectangular box will be reduced by 50% - in other words, they will all be cut in HALF. We're also told that the original price of the box will be cut in half.

Since the question does NOT state the dimensions are distinct, we can call each dimension "X"

Original Volume/Price:

Volume = (X)(X)(X)
Price = P

Volume/Price = (X^3)/P

Reduced Volume/Reduced Price

Volume = (X/2)(X/2)(X/2)
Price = (P/2)

Volume/Price = [(X^3)/8]/(P/2)

Now, multiply both the numerator and denominator by 8 (this will remove the fractions in each):

(X^3)/4P

Original Cheese Price = (X^3)/P
New Cheese Price = (X^3)/4P

In real basic terms, we're paying 4 TIMES the price for the same amount of cheese.

The question asks for the PERCENTAGE INCREASE in price/cheese....

Percentage Increase = (New - Old)/Old = (4P - P)/P = 3P/P = 3 = 300%

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

### GMAT/MBA Expert

sanju09 GMAT Instructor
Joined
21 Jan 2009
Posted:
3650 messages
Followed by:
81 members
Thanked:
267 times
GMAT Score:
760
Wed Feb 25, 2015 11:13 pm
rbakerv wrote:
To save money, Arkadelphia Cream Cheese will reduce each dimension of its rectangular box container (which is entirely full of cream cheese) by 50%, and reduce the price it charges its consumers by 50% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cream cheese?

No change
50%
100%
300%
400%

Let’s deal with easy numbers only. Take each dimension of box as 10 inches, so that its volume is 1000 cubic inches, which costs a consumer 2000 cents (say), such that the original cost per cubic inch is 2 cents.

Next scene, each dimension of box is made 5 inches, so that its volume now is 125 cubic inches. Then reduce the price it charges its consumers to 1000 cents so that the cost per cubic inch now is 1000/125 = 8 cents per cubic inch.

Evidently, the percent increase in price-per-cubic-inch = [(8 - 2)/2] X 100% = 300%

(D) is right.

_________________
The mind is everything. What you think you become. –Lord Buddha

Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.

### Best Conversation Starters

1 Vincen 180 topics
2 lheiannie07 65 topics
3 Roland2rule 49 topics
4 ardz24 40 topics
5 LUANDATO 16 topics
See More Top Beat The GMAT Members...

### Most Active Experts

1 Brent@GMATPrepNow

GMAT Prep Now Teacher

146 posts
2 Rich.C@EMPOWERgma...

EMPOWERgmat

103 posts
3 GMATGuruNY

The Princeton Review Teacher

100 posts
4 EconomistGMATTutor

The Economist GMAT Tutor

92 posts
5 Jay@ManhattanReview

Manhattan Review

79 posts
See More Top Beat The GMAT Experts