GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 13 Dec 2018, 23:56

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
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar

A store had a total of a pens which it sold. The store first sold b of

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

Hide Tags

Director
Director
User avatar
P
Joined: 08 Jun 2013
Posts: 515
Location: India
Schools: INSEAD Jan '19
GMAT 1: 200 Q1 V1
GPA: 3.82
WE: Engineering (Other)
GMAT ToolKit User Premium Member
A store had a total of a pens which it sold. The store first sold b of  [#permalink]

Show Tags

New post Updated on: 21 Jun 2018, 20:10
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (01:46) correct 14% (02:44) wrong based on 34 sessions

HideShow timer Statistics

A store had a total of a pens which it sold. The store first sold b of these pens for c dollars each and it sold the remaining pens for 2c/3 dollars each. Which of the following is equal to the total amount of money the store received for the a pens, in dollars?


A) (2a + b)c/3

B) (a + 2b)c/3

C) (2a + 3b)c/3

D) (2a + c)b/3

E) (3a + 2b)c/3

_________________

It seems Kudos button not working correctly with all my posts...

Please check if it is working with this post......

is it?....

Anyways...Thanks for trying :cool:


Originally posted by Harshgmat on 21 Jun 2018, 18:44.
Last edited by Bunuel on 21 Jun 2018, 20:10, edited 2 times in total.
Renamed the topic and edited the question.
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3325
Location: India
GPA: 3.12
Premium Member CAT Tests
A store had a total of a pens which it sold. The store first sold b of  [#permalink]

Show Tags

New post 21 Jun 2018, 23:00
Harshgmat wrote:
A store had a total of a pens which it sold. The store first sold b of these pens for c dollars each and it sold the remaining pens for 2c/3 dollars each. Which of the following is equal to the total amount of money the store received for the a pens, in dollars?


A) (2a + b)c/3

B) (a + 2b)c/3

C) (2a + 3b)c/3

D) (2a + c)b/3

E) (3a + 2b)c/3


The total pens the store had was a pens. It sold the first b pens for c dollars.
Now, the remaining a - b pens that were left were sold for \(\frac{2c}{3}\) dollars each.

The total money recovered from the sale of pens is calculated as follows:

\(bc + (a-b)\frac{2c}{3} = \frac{3bc + 2ac - 2bc}{3} = \frac{bc + 2ac}{3} = \frac{c}{3}(2a + 3b)\)( after taking out \(\frac{c}{3}\) as common)

Therefore, the total amount of money the store received for the pens, in dollars is \((2a + 3b)\frac{c}{3}\) (Option C)
_________________

You've got what it takes, but it will take everything you've got

Manager
Manager
avatar
B
Joined: 10 Jun 2018
Posts: 55
Location: Australia
Concentration: Technology, General Management
GPA: 2.88
WE: Science (Pharmaceuticals and Biotech)
Re: A store had a total of a pens which it sold. The store first sold b of  [#permalink]

Show Tags

New post 22 Jun 2018, 06:35
Total number of pen is a.
Revenue from selling b pen is bc.
Remaining pen is a-b.
Revenue from selling those pen is (a-b)*2c/3.

Total revenue is bc + (a-b)*2c/3
<=> 3bc/3 + (2ac - 2bc)/3
<=> (3bc + 2ac - 2bc)/3
<=> (2ac + bc)/3

In this case, we are only taking c out, not c/3. So it should be (2ac + bc)/3 = (2a + b)c/3, i.e. A.

It's sometimes easy to make minor mistakes in simplifying fractions, so always important to double-check.
_________________

Not a professional entity or a quant/verbal expert or anything. So take my answers with a grain of salt.

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7106
Re: A store had a total of a pens which it sold. The store first sold b of  [#permalink]

Show Tags

New post 22 Jun 2018, 08:14
A store had a total of a pens which it sold. The store first sold b of these pens for c dollars each and it sold the remaining pens for 2c/3 dollars each. Which of the following is equal to the total amount of money the store received for the a pens, in dollars?

Take SMART and easy numbers and substitute in choices..
c=3 (since the cost is 2c/3)
a=3, b=1..
So cost = 1*3+2*2=7..
Check choices


A) (2a + b)c/3.....(2*3+1)*3/3=6+1=7....yes

B) (a + 2b)c/3.....(3+2*1)*3/3=5...no

C) (2a + 3b)c/3....((2*3+3*2)*3/3=12...no

D) (2a + c)b/3.....(2*3+3)*1/3=3....no

E) (3a + 2b)c/3.....(3*3+2*1)*3/3=11...no

A
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4294
Location: United States (CA)
Re: A store had a total of a pens which it sold. The store first sold b of  [#permalink]

Show Tags

New post 25 Jun 2018, 10:53
Harshgmat wrote:
A store had a total of a pens which it sold. The store first sold b of these pens for c dollars each and it sold the remaining pens for 2c/3 dollars each. Which of the following is equal to the total amount of money the store received for the a pens, in dollars?


A) (2a + b)c/3

B) (a + 2b)c/3

C) (2a + 3b)c/3

D) (2a + c)b/3

E) (3a + 2b)c/3


The total made was:

bc + 2c/3(a - b)

bc + 2ca/3 - 2bc/3

bc/3 + 2ca/3

(b + 2a)c/3

Answer: A
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: A store had a total of a pens which it sold. The store first sold b of &nbs [#permalink] 25 Jun 2018, 10:53
Display posts from previous: Sort by

A store had a total of a pens which it sold. The store first sold b of

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.