Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 13 Feb 2016, 02:10

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If a certain toy store's revenue in November was 2/5 of its

Author Message
TAGS:
Math Expert
Joined: 02 Sep 2009
Posts: 31304
Followers: 5364

Kudos [?]: 62525 [0], given: 9457

If a certain toy store's revenue in November was 2/5 of its [#permalink]  25 Jun 2012, 01:36
Expert's post
5
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

60% (02:28) correct 40% (01:29) wrong based on 664 sessions
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

Diagnostic Test
Question: 8
Page: 21
Difficulty: 600
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 31304
Followers: 5364

Kudos [?]: 62525 [4] , given: 9457

Re: If a certain toy store's revenue in November was 2/5 of its [#permalink]  25 Jun 2012, 01:36
4
KUDOS
Expert's post
1
This post was
BOOKMARKED
SOLUTION

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

Probably, for most people it would be easier to solve such kind of questions by picking numbers.

Notice that January is linked with November and November is linked with December. So, we should pick some smart number for December's revenue. Since the denominators in the question are 5 and 4, the let say December's revenue was 20 (the least common multiple of 4 and 5). So, we have that:

Revenue in December = 20;
Revenue in November = 20*2/5 = 8;
Revenue in January = 8*1/4 = 2;

The average of 8 and 2 is 5, so the store's revenue in December was 20/5=4 times that value.

_________________
Senior Manager
Joined: 28 Mar 2012
Posts: 287
Concentration: Entrepreneurship
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Followers: 23

Kudos [?]: 290 [1] , given: 23

Re: If a certain toy store's revenue in November was 2/5 of its [#permalink]  25 Jun 2012, 03:29
1
KUDOS
Hi,

Lets say, revenue in November = N was 2/5 of its
revenue in December = D
revenue in January = J
As per given data,
N = (2/5)D
J = (1/4)N = 1/4 * 2/5 *D = (1/10)D

$$D = \frac {x(N+J)}2$$, we need to find x,

$$D = \frac {x((2/5)D+(1/10)D}2$$
x = 4,

Regards,
Intern
Joined: 14 Apr 2012
Posts: 13
Location: India
Concentration: Technology, General Management
GMAT Date: 09-12-2012
GPA: 3.5
WE: Information Technology (Retail)
Followers: 0

Kudos [?]: 5 [0], given: 16

Re: If a certain toy store's revenue in November was 2/5 of its [#permalink]  26 Jun 2012, 09:11
Use plug in value.
Let Dec rev =100
Then Nov rev is 2/5 (100) => 40
Therefore Jan rev = 1/4(Nov rev) = 1/4(40) => 10

Hence Dec rev = x*( Nov rev+Jan rev)/2
100 = x* (40+10)/2
x = 100/25 => 4

Ans) E
Manager
Joined: 02 Jun 2011
Posts: 159
Followers: 1

Kudos [?]: 56 [0], given: 11

Re: If a certain toy store's revenue in November was 2/5 of its [#permalink]  26 Jun 2012, 13:09
N = 2/5*D or D = 5/2N
J= 1/4*N

avg (N+J) =( N+1/4*N)/ 2 =5/8*N
so, avg(N+J)/D = 4

E
Math Expert
Joined: 02 Sep 2009
Posts: 31304
Followers: 5364

Kudos [?]: 62525 [0], given: 9457

Re: If a certain toy store's revenue in November was 2/5 of its [#permalink]  29 Jun 2012, 02:05
Expert's post
SOLUTION

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

Probably, for most people it would be easier to solve such kind of questions by picking numbers.

Notice that January is linked with November and November is linked with December. So, we should pick some smart number for December's revenue. Since the denominators in the question are 5 and 4, then let say December's revenue was 20 (the least common multiple of 4 and 5). So, we have that:

Revenue in December = 20;
Revenue in November = 20*2/5 = 8;
Revenue in January = 8*1/4 = 2;

The average of 8 and 2 is 5, so the store's revenue in December was 20/5=4 times that value.

_________________
Intern
Joined: 07 Jan 2011
Posts: 25
Followers: 1

Kudos [?]: 2 [1] , given: 1

Re: If a certain toy store's revenue in November was 2/5 of its [#permalink]  11 Jul 2012, 21:00
1
KUDOS
Bunuel,

The answer is perfect, but I think there is some confusion:-

You have written:-
Revenue in December = 20;
Revenue in November = 20*2/5 = 8;
Revenue in December = 8*1/4 = 2;

I think it should be:-
Revenue in December = 20;
Revenue in November = 20*2/5 = 8;
Revenue in January = 8*1/4 = 2;

Rgds
Rahul Goel
Math Expert
Joined: 02 Sep 2009
Posts: 31304
Followers: 5364

Kudos [?]: 62525 [0], given: 9457

Re: If a certain toy store's revenue in November was 2/5 of its [#permalink]  12 Jul 2012, 00:04
Expert's post
rggoel9 wrote:
Bunuel,

The answer is perfect, but I think there is some confusion:-

You have written:-
Revenue in December = 20;
Revenue in November = 20*2/5 = 8;
Revenue in December = 8*1/4 = 2;

I think it should be:-
Revenue in December = 20;
Revenue in November = 20*2/5 = 8;
Revenue in January = 8*1/4 = 2;

Rgds
Rahul Goel

Yes, I had two Decembers there. Edited. Thank you. +1.
_________________
Moderator
Joined: 01 Sep 2010
Posts: 2742
Followers: 599

Kudos [?]: 4639 [0], given: 756

Re: If a certain toy store's revenue in November was 2/5 of its [#permalink]  12 Jul 2012, 00:24
Expert's post
600 level.

if we translate can write: N= 2/5 D and J = 1/4 N

Now observing and substituting we obtaine N = 4J .......ravenues of November and January is 4. E is the answer.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 8228
Followers: 419

Kudos [?]: 111 [0], given: 0

Re: If a certain toy store's revenue in November was 2/5 of its [#permalink]  16 Jul 2014, 18:48
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 8228
Followers: 419

Kudos [?]: 111 [0], given: 0

Re: If a certain toy store's revenue in November was 2/5 of its [#permalink]  06 Aug 2015, 05:24
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Veritas Prep GMAT Instructor
Joined: 15 Jul 2015
Posts: 108
GMAT 1: 730 Q V0
GPA: 3.62
WE: Corporate Finance (Consulting)
Followers: 6

Kudos [?]: 42 [0], given: 7

Re: If a certain toy store's revenue in November was 2/5 of its [#permalink]  06 Aug 2015, 06:16
Expert's post
Bunuel 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

Diagnostic Test
Question: 8
Page: 21
Difficulty: 600

If N = 2/5 D and J = 1/4N, we should put all expressions into a common variable. Let's use D. D =D; N =2/5D; and J = 1/10D.
Assuming D =10, we now have N = 4 and J = 1.
The average of 4 and 1 is 2.5
10 is 4 times greater than 2.5
_________________

Dennis
Veritas Prep | GMAT Instructor

Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Intern Joined: 08 Aug 2015 Posts: 8 GMAT 1: 770 Q49 V47 Followers: 0 Kudos [?]: 3 [0], given: 16 If a certain toy store's revenue in November was 2/5 of its [#permalink] 20 Nov 2015, 05:19 This can be solved even faster: The revenue in November (N) is less than half the revenue in December (D). Therefore, December revenue is more than twice the November revenue: $$D>2N$$ The revenue in January (J) is even smaller than revenue in November. Consequently, the average of the two will be less than N: $$Average = (J+N)/2 < N$$ Therefore, December revenue will be far more than twice the average: $$D>2N>2*Average$$ The only option left is (E). EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 5621 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Followers: 227 Kudos [?]: 1600 [0], given: 154 Re: If a certain toy store's revenue in November was 2/5 of its [#permalink] 29 Nov 2015, 10:50 Expert's post Hi All, This question can be solved by TESTing VALUES. We're given information comparing revenue for 3 months: 1) November revenue = 2/5 of December revenue 2) January revenue = 1/4 of November revenue We're asked to compare the December revenue to the AVERAGE of November's and January's revenues (and we're asked how many times greater the December revenue is). With the two fractions involved, the common denominator is 20, but you can use any number you like. For example... December revenue =$100
November revenue = (2/5)(100) = $40 January revenue = (1/4)(40) =$10

The average of November and January is (40+10)/2 = 25

Since December revenue is 100, that is 4 TIMES the average of the other two months.

[Reveal] Spoiler:
E

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

# Rich Cohen

Co-Founder & GMAT Assassin

# Special Offer: Save \$75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

Re: If a certain toy store's revenue in November was 2/5 of its   [#permalink] 29 Nov 2015, 10:50
Similar topics Replies Last post
Similar
Topics:
Revenues were recorded for Store A and Store B over a period 2 07 Oct 2013, 20:23
29 A certain store sells small, medium, and large toy trucks i 13 08 Jan 2013, 04:36
1 A toy store regularly sells all stock at a discount of 20 15 25 Oct 2010, 04:40
9 If a certain toy store's revenue in November was 2/5 of its 4 30 Jun 2010, 16:26
8 In each production lot for a certain toy, 25 percent of the 7 27 Nov 2007, 15:21
Display posts from previous: Sort by