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

It is currently 15 Jan 2019, 21:52

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
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • $450 Tuition Credit & Official CAT Packs FREE

     January 15, 2019

     January 15, 2019

     10:00 PM PST

     11:00 PM PST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
  • The winning strategy for a high GRE score

     January 17, 2019

     January 17, 2019

     08:00 AM PST

     09:00 AM PST

    Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.

Sam earned a $2,000 commission on a big sale, raising his average comm

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

Hide Tags

 
Manager
Manager
User avatar
B
Joined: 14 Feb 2016
Posts: 73
Sam earned a $2,000 commission on a big sale, raising his average comm  [#permalink]

Show Tags

New post 08 Jan 2019, 08:10
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

70% (00:56) correct 30% (01:06) wrong based on 20 sessions

HideShow timer Statistics

Sam earned a $2,000 commission on a big sale, raising his average commission by $100. If Sam's new average commission is $900, how many sales has he made?

a) 12
b) 13
c) 15
d) 21
e) 8

_________________

Please provide kudos if you liked my post! I would really like to use the PDF file!!

Intern
Intern
avatar
B
Joined: 24 Oct 2017
Posts: 5
GMAT 1: 620 Q49 V25
Sam earned a $2,000 commission on a big sale, raising his average comm  [#permalink]

Show Tags

New post 08 Jan 2019, 09:16
Okay, So we need to consider a few variables here:

Total Sales = Ts
Total commission (before $2000) =T1


New Average Commission = 900 = \(\frac{T1+2000}{Ts}\) = Old Average Commission + 100 ------ (According to the question)
Old Average Commission =\(\frac{T1}{(Ts-1)}\)

Therefore we have 2 equations now

900 = \(\frac{T1+2000}{Ts}\) ----- (i)
900 = \(\frac{T1}{(Ts-1)}\) + 100 -----(ii)

Simplifying them..

900xTs = T1 + 2000 ----- (i)
800xTs = T1 + 800 -----(ii)

Subtracting eq(ii) from eq(i), we eliminate T1

We get, Ts = 12;

ANSWER: (A) 12
Intern
Intern
avatar
B
Joined: 20 Feb 2018
Posts: 5
Re: Sam earned a $2,000 commission on a big sale, raising his average comm  [#permalink]

Show Tags

New post 08 Jan 2019, 19:25
An alternative solution,
Let, total sales before=s
Then, total revenue=800s
New average,900= (800s+2000)/(s+1)
Solve for, s= 11
Total sale=11+1 (new sale)=12 (Answer)
GMAT Tutor
User avatar
B
Joined: 07 Nov 2016
Posts: 44
GMAT 1: 760 Q51 V42
Premium Member CAT Tests
Re: Sam earned a $2,000 commission on a big sale, raising his average comm  [#permalink]

Show Tags

New post 08 Jan 2019, 21:17
CLIMBTHELADDER wrote:
Sam earned a $2,000 commission on a big sale, raising his average commission by $100. If Sam's new average commission is $900, how many sales has he made?

a) 12
b) 13
c) 15
d) 21
e) 8


By Rule of Alligations :

\(\frac{n_1}{n_2}\) = \(\frac{(A_2-A)}{(A-A_1)}\)

Here, \(n_1\) is unknown, \(n_2\) = 1, \(A_2\) = 2000, \(A_1\) = 800, and A = 900

\(\frac{n_1}{1}\)= \(\frac{(2000-900)}{(900-800)}\)

\(n_1\) =11

So, total number of Sales = \(n_1 + n_2\) = 11 + 1 = 12

Choice A
_________________

Please contact me at ksrutisagar@gmail.com

GMAT Club Bot
Re: Sam earned a $2,000 commission on a big sale, raising his average comm &nbs [#permalink] 08 Jan 2019, 21:17
Display posts from previous: Sort by

Sam earned a $2,000 commission on a big sale, raising his average comm

  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®.