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

It is currently 23 Jul 2018, 01:01

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

A businessman earns $27800 in December, thus decreasing his

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

Hide Tags

2 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1837
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
A businessman earns $27800 in December, thus decreasing his  [#permalink]

Show Tags

New post 18 Aug 2014, 02:58
2
8
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

51% (01:57) correct 49% (02:46) wrong based on 123 sessions

HideShow timer Statistics

A businessman earns $27800 in December, thus decreasing his average annual (January to December) earnings by $1200. His average annual earnings would be

A: $29000

B: $33500

C: $40200

D: $41000

E: $42300

Source: CMAT Preparation

_________________

Kindly press "+1 Kudos" to appreciate :)

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47200
Re: A businessman earns $27800 in December, thus decreasing his  [#permalink]

Show Tags

New post 18 Aug 2014, 03:54
1
PareshGmat wrote:
A businessman earns $27800 in December, thus decreasing his average annual (January to December) earnings by $1200. His average annual earnings would be

A: $29000

B: $33500

C: $40200

D: $41000

E: $42300

Source: CMAT Preparation


(x - 27,800)/11 - x/12 = 1,200
x = 492,000
x/12 = 41,000

Answer: D.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

4 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1837
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: A businessman earns $27800 in December, thus decreasing his  [#permalink]

Show Tags

New post 18 Aug 2014, 21:32
4
PareshGmat wrote:
A businessman earns $27800 in December, thus decreasing his average annual (January to December) earnings by $1200. His average annual earnings would be

A: $29000

B: $33500

C: $40200

D: $41000

E: $42300

Source: CMAT Preparation


Say Earning for 11 Months (January to November) = 11x; Average = x

Earning in December = 27800; Average = x-1200

Setting up the equation

\(\frac{11x + 27800}{12} = x-1200\)

x = 42200

Average = 42200 - 1200 = 41000

Answer = D
_________________

Kindly press "+1 Kudos" to appreciate :)

Expert Post
3 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
P
Joined: 16 Oct 2010
Posts: 8132
Location: Pune, India
Re: A businessman earns $27800 in December, thus decreasing his  [#permalink]

Show Tags

New post 18 Aug 2014, 21:43
3
PareshGmat wrote:
A businessman earns $27800 in December, thus decreasing his average annual (January to December) earnings by $1200. His average annual earnings would be

A: $29000

B: $33500

C: $40200

D: $41000

E: $42300

Source: CMAT Preparation


Had he earned the previous average in Dec too, the average would have stayed same. To bring down the average earning by $1200, the December earning needs to account for -1200 of all 12 months i.e. it must be 1200*12 = 14400 less than previous average.
So previous average = 27,800 + 14400 = 42,200
So now the average of the year would be 42,200 - 1200 = 41000

Answer (D)
_________________

Karishma
Private Tutor for GMAT
Contact: bansal.karishma@gmail.com

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 02 Mar 2012
Posts: 334
Schools: Schulich '16
Re: A businessman earns $27800 in December, thus decreasing his  [#permalink]

Show Tags

New post 26 Jun 2016, 05:54
1
another method

he earned 27800 which drops his average annual income by 1200.

so to find the new income -(11*1200 ) +27800=41000

11*1200 means - we are decreasing the average income by x-1200 for each month and calcaulating the new annual salary.

If it was said to find the annual income as per old average x the salary would be 1200*12 +27800=42200

1200*12 - because we are compensating for december
Director
Director
User avatar
P
Joined: 27 May 2012
Posts: 513
Premium Member
Re: A businessman earns $27800 in December, thus decreasing his  [#permalink]

Show Tags

New post 26 Dec 2017, 20:53
VeritasPrepKarishma wrote:
PareshGmat wrote:
A businessman earns $27800 in December, thus decreasing his average annual (January to December) earnings by $1200. His average annual earnings would be

A: $29000

B: $33500

C: $40200

D: $41000

E: $42300

Source: CMAT Preparation


Had he earned the previous average in Dec too, the average would have stayed same. To bring down the average earning by $1200, the December earning needs to account for -1200 of all 12 months i.e. it must be 1200*12 = 14400 less than previous average.
So previous average = 27,800 + 14400 = 42,200
So now the average of the year would be 42,200 - 1200 = 41000

Answer (D)


Hi karishma,
Shouldn't the question have made it more clear that they are looking for the average " after " the decrease .
Or is the future tense " would be " a proper hint?

Felt " would become " would have been more clearer.
I arrived at 42200 then just couldn't find it in the options !
_________________

- Stne

Re: A businessman earns $27800 in December, thus decreasing his &nbs [#permalink] 26 Dec 2017, 20:53
Display posts from previous: Sort by

A businessman earns $27800 in December, thus decreasing his

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

Events & Promotions

PREV
NEXT


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®.