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

It is currently 17 Jul 2018, 00:49

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

For each month of a given year except December

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

Hide Tags

Intern
Intern
User avatar
B
Joined: 29 Aug 2013
Posts: 40
Location: Bangladesh
GPA: 3.76
WE: Supply Chain Management (Transportation)
For each month of a given year except December [#permalink]

Show Tags

New post 12 Mar 2016, 11:26
2
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

81% (02:18) correct 19% (01:34) wrong based on 75 sessions

HideShow timer Statistics

For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity. In December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity. If the worker's charitable contributions totaled one-eighth of his earnings for the entire year, what is the value of N?

A) 8/5

B) 5/2

C) 3

D) 11/3

E) 4

_________________

Appreciate Kudos if the post seems worthwhile!

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47032
For each month of a given year except December [#permalink]

Show Tags

New post 12 Mar 2016, 11:35
1
1
shapla wrote:
For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity. In December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity. If the worker's charitable contributions totaled one-eighth of his earnings for the entire year, what is the value of N?

A) 8/5

B) 5/2

C) 3

D) 11/3

E) 4


Let monthly salary for each of the 11 months except December was x, then

11x*1/10 + Nx*1/5 = 1/8(11x + Nx);

11/10 + N/5 = 1/8(11 + N)

N = 11/3.

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

Intern
Intern
avatar
Joined: 14 Dec 2014
Posts: 19
Concentration: Technology
GMAT ToolKit User
Re: For each month of a given year except December [#permalink]

Show Tags

New post 12 Mar 2016, 17:12
Salary = s
Donation for 11 months = 1/10 ( 11*s)
Donation for December = 1/5 (N*s)
Total Donation = 11s/10+ Ns/5 = ( 11s+2Ns)/10 = s(11+2N)/10

Total Salary = 11*2+N+s = s (11+N)
Total Donation = s(11+N)/8

--> set both donation equations equal to each other:
1. s(11+N)/8 = s(11+2N)/10
2. cancel "s" on both sides
3. 10 (11+N) = 8 (11+2N) = 110 N + 10 N = 88 + 16N
4. N = 22 / 6 = 11/3
Expert Post
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6217
For each month of a given year except December [#permalink]

Show Tags

New post 12 Mar 2016, 19:40
shapla wrote:
For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity. In December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity. If the worker's charitable contributions totaled one-eighth of his earnings for the entire year, what is the value of N?

A) 8/5

B) 5/2

C) 3

D) 11/3

E) 4


Hi,
Apart from the method of [b]Bunuel
, we can do it by weighted average method, by taking this too as MIXTURE.
so the quantities are
1) 11 units of 1/10
2) N units of 1/5
average= 1/8 of (N+11)[/b]

so\({(\frac{1}{8}-\frac{1}{10})}/{(\frac{1}{5}-\frac{1}{10})}=\frac{N}{(N+11)}\)..
\({\frac{1}{40}/\frac{1}{10}}=\frac{N}{(N+11)}\)..
\(\frac{1}{4}=\frac{N}{(N+11)}\)
N+11=4N..
3N=11..
N=11/3
D

_________________

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

Manager
Manager
avatar
Joined: 09 Jun 2015
Posts: 102
Re: For each month of a given year except December [#permalink]

Show Tags

New post 13 Mar 2016, 04:26
shapla wrote:
For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity. In December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity. If the worker's charitable contributions totaled one-eighth of his earnings for the entire year, what is the value of N?

A) 8/5

B) 5/2

C) 3

D) 11/3

E) 4


Supposing that worker's monthly salary is $10 per month, he earns $110 and gives charity $11 for 11 months.
In December he earns 10*N and gives charity 2*N
Total salary 110+10*N
Charity 11+2*N
By supposition,
88+16*N = 110+10*N
Solving N = 11/3
Current Student
User avatar
Joined: 12 Nov 2015
Posts: 60
Location: Uruguay
Concentration: General Management
Schools: Goizueta '19 (A)
GMAT 1: 610 Q41 V32
GMAT 2: 620 Q45 V31
GMAT 3: 640 Q46 V32
GPA: 3.97
For each month of a given year except December, a worker earned the [#permalink]

Show Tags

New post 24 Jul 2016, 11:26
For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity. In December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity. If the worker's charitable contributions totaled one-eighth of his earnings for the entire year, what is the value of N?


A) 8/5
B) 5/2
C) 3
D) 11/3
E) 4
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47032
Re: For each month of a given year except December [#permalink]

Show Tags

New post 24 Jul 2016, 11:32
Avigano wrote:
For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity. In December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity. If the worker's charitable contributions totaled one-eighth of his earnings for the entire year, what is the value of N?


A) 8/5
B) 5/2
C) 3
D) 11/3
E) 4


Merging topics. Please refer to the discussion above.
_________________

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

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 7269
Premium Member
Re: For each month of a given year except December [#permalink]

Show Tags

New post 21 Mar 2018, 13:11
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: For each month of a given year except December   [#permalink] 21 Mar 2018, 13:11
Display posts from previous: Sort by

For each month of a given year except December

  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®.