GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 29 Jan 2020, 06:52

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

The table above shows the average (arithmetic mean) price per dozen eg

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
Joined: 11 Jul 2011
Posts: 18
Location: India
Concentration: Entrepreneurship, Marketing
GMAT Date: 03-08-2013
WE: Manufacturing and Production (Manufacturing)
The table above shows the average (arithmetic mean) price per dozen eg  [#permalink]

Show Tags

New post 11 Oct 2012, 11:20
2
10
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

68% (02:48) correct 32% (03:25) wrong based on 238 sessions

HideShow timer Statistics

Image
The table above shows the average (arithmetic mean) price per dozen eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?

A. $1.08
B. $1.10
C. $1.14
D. $1.16
E. $1.18

PS40502.01

Attachment:
2019-09-21_1453.png
2019-09-21_1453.png [ 9.38 KiB | Viewed 1799 times ]
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 60778
Re: The table above shows the average (arithmetic mean) price per dozen eg  [#permalink]

Show Tags

New post 11 Oct 2012, 11:48
2
1
abhishek1990p wrote:
Month Average Price
per Dozen
April $1.26
May $1.20
June $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18


Say x dozen eggs were sold in May.

Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.

Total x+2x/3+4x/3=3x dozen eggs were sold in three months.

Total sales: 2x/3*1.26+x*1.2+4x/3*1.08=$3.48x. The average price per dozen 3.48x/3x=$1.16.

Answer: D.
_________________
Intern
Intern
avatar
Joined: 15 May 2013
Posts: 6
GMAT ToolKit User
Re: The table above shows the average (arithmetic mean) price per dozen eg  [#permalink]

Show Tags

New post 15 Jul 2013, 07:45
1
As per the given info ratio of number of dozens sold in April:may:june as follows
April:may:june = 2/3:1:4/3

percentage distribution of three months, april= 2/9, may=1/3, june=4/9
now multiply price of each month with its percentage= (2/9*(1.26))+(1/3*(1.20))+(4/9*(1.08)= 1.16
hence answer is D
Manager
Manager
avatar
Joined: 30 May 2013
Posts: 149
Location: India
Concentration: Entrepreneurship, General Management
GPA: 3.82
GMAT ToolKit User
Re: The table above shows the average (arithmetic mean) price per dozen eg  [#permalink]

Show Tags

New post 07 Oct 2013, 08:12
Bunuel wrote:
abhishek1990p wrote:
Month Average Price
per Dozen
April $1.26
May $1.20
June $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18


Say x dozen eggs were sold in May.

Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.

Total x+2x/3+4x/3=3x dozen eggs were sold in three months.

Total sales: 2x/3*1.26+x*1.2+4x/3*1.08=$3.48x. The average price per dozen 3.48x/3x=$1.16.

Answer: D.


Hi,

This type of calculation takes more than 3 mins.

Is there any easy way of solution?

Regards,
Rrsnathan.
Intern
Intern
avatar
Joined: 15 Jul 2012
Posts: 32
GMAT ToolKit User
Re: The table above shows the average (arithmetic mean) price per dozen eg  [#permalink]

Show Tags

New post 16 Oct 2014, 11:14
Bunuel wrote:
Month Average Price
per Dozen
April $1.26
May $1.20
June $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18


Say x dozen eggs were sold in May.

Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.

Total x+2x/3+4x/3=3x dozen eggs were sold in three months.

Total sales: 2x/3*1.26+x*1.2+4x/3*1.08=$3.48x. The average price per dozen 3.48x/3x=$1.16.

Answer: D.[/quote]


Hi Bunuel,

could you tell me where am i going wrong?
if suppose x dozen eggs were sold in april then
1.26X+1.20(3/2X)+1.08(2X)/X+3/2X+2X

but i am not getting the answer
please tell me where am i going wrong?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 60778
Re: The table above shows the average (arithmetic mean) price per dozen eg  [#permalink]

Show Tags

New post 17 Oct 2014, 00:59
saggii27 wrote:
Bunuel wrote:
Month Average Price
per Dozen
April $1.26
May $1.20
June $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18


Say x dozen eggs were sold in May.

Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.

Total x+2x/3+4x/3=3x dozen eggs were sold in three months.

Total sales: 2x/3*1.26+x*1.2+4x/3*1.08=$3.48x. The average price per dozen 3.48x/3x=$1.16.

Answer: D.



Hi Bunuel,

could you tell me where am i going wrong?
if suppose x dozen eggs were sold in april then
1.26X+1.20(3/2X)+1.08(2X)/X+3/2X+2X

but i am not getting the answer
please tell me where am i going wrong?[/quote]

(1.26x+1.20(3/2*x)+1.08(2x))/(x+3/2*x+2x) is correct. Check math.
_________________
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 10035
Location: Pune, India
Re: The table above shows the average (arithmetic mean) price per dozen eg  [#permalink]

Show Tags

New post 01 Mar 2017, 03:01
abhishek1990p wrote:
Month Average Price
per Dozen
April $1.26
May $1.20
June $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18



You can approximate here.

April - 1.26
May - 1.20
June - 1.08

"If 2/3 as many dozen were sold in April as in May" - The price difference between April and May is 0.06. Splitting this in 2:3 ratio such that average is closer to May, the avg price of April-May would be about 1.22.

"twice as many were sold in June as in April" - In June, number of dozens sold were twice the number in April. So average of April-May-June would be closer to average of April-May but about in the centre.
Mid point of 1.22 and 1.08 is 1.15 but it should be closer to 1.22 so the average must be 1.16.

Answer (D)
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Intern
Intern
avatar
B
Joined: 06 Dec 2017
Posts: 7
Re: The table above shows the average (arithmetic mean) price per dozen eg  [#permalink]

Show Tags

New post 15 Apr 2018, 11:26
1
I applied smart number in this question.
say May = 3, April = 2/3 of May = 2, June = twice the amount in April = 4.
(3x1,20) + (2x1,26) + (4x1,08) = 10,44
10,44/ 3+2+4 = 1,66
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 16002
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: The table above shows the average (arithmetic mean) price per dozen eg  [#permalink]

Show Tags

New post 10 Dec 2019, 13:46
Hi All,

We're told that the table above shows the average (arithmetic mean) price per dozen eggs sold in a certain store during three successive months - and that 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April. We're asked for the average price per dozen of the eggs sold over the three-month period. This question can be solved by TESTing VALUES and doing the necessary Arithmetic. It's also worth noting that since the answers are relatively 'close' together, we will have to be precise with our calculations.

IF....
2 dozen eggs were sold in April
3 dozen eggs were sold in May
4 dozen eggs were sold in June

Total price = (2)($1.26) + (3)($1.20) + (4)($1.08) = $2.52 + $3.60 + $4.32 = $10.44
Average price per dozen = $10.44/9 = $1.16

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com
Image


The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9177
Location: United States (CA)
Re: The table above shows the average (arithmetic mean) price per dozen eg  [#permalink]

Show Tags

New post 17 Dec 2019, 20:45
abhishek1990p wrote:
Image
The table above shows the average (arithmetic mean) price per dozen eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?

A. $1.08
B. $1.10
C. $1.14
D. $1.16
E. $1.18

PS40502.01

Attachment:
2019-09-21_1453.png



We can create the equations:

A = 2M/3

3A = 2M

3A/2 = M

1.5A = M

and

J = 2A

Therefore, the average price per dozen eggs sold over the three-month period is:

(A x 1.26 + 1.5A x 1.20 + 2A x 1.08)/(A + 1.5A + 2A)

(1.26A+ 1.8A + 2.16A)/(4.5A)

5.22A/(4.5A) = 5.22/4.5 = 1.16

Alternate solution:

We can let the number of dozens of eggs sold in May be 6; thus, the number of dozens of eggs sold in April is 2/3 x 6 = 4, and the number of dozens of eggs sold in June is 2 x 4 = 8.

Therefore, the average price per dozen eggs sold over the three-month period is:

(4 x 1.26 + 6 x 1.20 + 8 x 1.08) / (4 + 6 + 8)

20.88/18 = 1.16

Answer: D
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
181 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: The table above shows the average (arithmetic mean) price per dozen eg   [#permalink] 17 Dec 2019, 20:45
Display posts from previous: Sort by

The table above shows the average (arithmetic mean) price per dozen eg

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne