• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

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

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

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

• Award-winning private GMAT tutoring
Register now and save up to $200 Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code ## OG Certain toy store's revenue in November This topic has 3 expert replies and 0 member replies AbeNeedsAnswers Master | Next Rank: 500 Posts Joined 02 Jul 2017 Posted: 191 messages Followed by: 1 members Thanked: 1 times #### OG Certain toy store's revenue in November Tue Jul 25, 2017 8:11 pm Elapsed Time: 00:00 • Lap #[LAPCOUNT] ([LAPTIME]) If a certain toy store's revenue in November was 2/5 of its revenue in December and its revenue in January was 1/4 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January? (A) 1/4 (B) 1/2 (C) 2/3 (D) 2 (E) 4 E 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 Jay@ManhattanReview GMAT Instructor Joined 22 Aug 2016 Posted: 703 messages Followed by: 17 members Thanked: 332 times Tue Jul 25, 2017 10:45 pm AbeNeedsAnswers wrote: If a certain toy store's revenue in November was 2/5 of its revenue in December and its revenue in January was 1/4 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January? (A) 1/4 (B) 1/2 (C) 2/3 (D) 2 (E) 4 E Say the revenues in November, December and January are N, D, and J, respectively. Thus, we have, N = 2D/5; J = N/4 = (2D/5)/4 = D/10 Say the revenue in December was x times the average (arithmetic mean) of its revenues in November and January. Thus, D = x*(N + J)/2 D = x*(2D/5 + D/10)/2 D = Dx*(2/5 + 1/10)/2 2 = 5x/10; D cancells x = 4. The correct answer: E Hope this helps! Download free ebook: Manhattan Review GMAT Quantitative Question Bank Guide -Jay _________________ Manhattan Review GMAT Prep Locations: New York | Singapore | Doha | Lausanne | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert Rich.C@EMPOWERgmat.com Elite Legendary Member Joined 23 Jun 2013 Posted: 8699 messages Followed by: 460 members Thanked: 2729 times GMAT Score: 800 Wed Jul 26, 2017 7:02 pm Hi AbeNeedsAnswers, This question can be solved by TESTing VALUES. We're told two facts about a toy store's revenue: 1) The revenue in November was 2/5 of the revenue in December. 2) The revenue in January was 1/4 of the revenue in November. We're asked to define how the revenue in December relates to the AVERAGE of the revenues in November and January. Let's TEST the common-denominator of those two fractions: 20 IF... December revenue =$20
November revenue = (2/5)($20) =$8
January revenue = (1/4)($8) =$2

The average of the November and January revenues is ($8+$2)/2 = $5. The December revenue ($20) is 4 times that average.

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

_________________
Contact Rich at Rich.C@empowergmat.com

### GMAT/MBA Expert

Scott@TargetTestPrep GMAT Instructor
Joined
25 Apr 2015
Posted:
301 messages
Followed by:
2 members
Thanked:
38 times
Mon Aug 14, 2017 1:10 pm
If a certain toy store's revenue in November was 2/5 of its revenue in December and its revenue in January was 1/4 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?

(A) 1/4
(B) 1/2
(C) 2/3
(D) 2
(E) 4

E
We can let n = revenue in November, d = revenue in December, and j = revenue in January. We can create the following equations:

n = (2/5)d

j = (1/4)n

So, j = (1/4)(2/5)d = (1/10)d

We now determine that the average revenue for November and January is:

[(2/5)d + (1/10)d]/2

[(4/10)d + (1/10)d]/2

(5/10)d/2 = (1/4)d

Thus, the revenue in December is d/[(1/4)d] = 4 times the average revenue for November and January.

_________________

Scott Woodbury Stewart Founder & CEO
GMAT Quant Self-Study Course - 500+ lessons 3000+ practice problems 800+ HD solutions
5-Day Free Trial 5-DAY FREE, FULL-ACCESS TRIAL TTP QUANT

### Best Conversation Starters

1 Vincen 180 topics
2 lheiannie07 61 topics
3 Roland2rule 54 topics
4 ardz24 44 topics
5 VJesus12 14 topics
See More Top Beat The GMAT Members...

### Most Active Experts

1 Brent@GMATPrepNow

GMAT Prep Now Teacher

155 posts
2 Rich.C@EMPOWERgma...

EMPOWERgmat

105 posts
3 GMATGuruNY

The Princeton Review Teacher

101 posts
4 Jay@ManhattanReview

Manhattan Review

82 posts
5 Matt@VeritasPrep

Veritas Prep

80 posts
See More Top Beat The GMAT Experts