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

 It is currently 22 Jan 2019, 05:06

### 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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winners of the GMAT game show

January 22, 2019

January 22, 2019

10:00 PM PST

11:00 PM PST

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
• ### Key Strategies to Master GMAT SC

January 26, 2019

January 26, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# 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
Joined: 29 Aug 2013
Posts: 39
Location: Bangladesh
GPA: 3.76
WE: Supply Chain Management (Transportation)
For each month of a given year except December  [#permalink]

### Show Tags

12 Mar 2016, 10:26
2
00:00

Difficulty:

25% (medium)

Question Stats:

83% (03:07) correct 17% (02:57) wrong based on 95 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!

Math Expert
Joined: 02 Sep 2009
Posts: 52385
For each month of a given year except December  [#permalink]

### Show Tags

12 Mar 2016, 10:35
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.
_________________
Intern
Joined: 14 Dec 2014
Posts: 19
Concentration: Technology
Re: For each month of a given year except December  [#permalink]

### Show Tags

12 Mar 2016, 16:12
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
Math Expert
Joined: 02 Aug 2009
Posts: 7211
For each month of a given year except December  [#permalink]

### Show Tags

12 Mar 2016, 18:40
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
Joined: 09 Jun 2015
Posts: 92
Re: For each month of a given year except December  [#permalink]

### Show Tags

13 Mar 2016, 03:26
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
Joined: 12 Nov 2015
Posts: 59
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

24 Jul 2016, 10:26
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
Math Expert
Joined: 02 Sep 2009
Posts: 52385
Re: For each month of a given year except December  [#permalink]

### Show Tags

24 Jul 2016, 10:32
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.
_________________
Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: For each month of a given year except December  [#permalink]

### Show Tags

05 Sep 2018, 09:46
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

We can let the normal salary = k, so his total salary for the first 11 months was 11k. Each month k/10 went to charity, so for the first 11 months, his total charitable contribution was 11k/10.

The December salary was kN, and kN/5 was donated to charity.

Since the worker's charitable contributions totaled one-eighth of his earnings for the entire year:

kN/5 + 11k/10 = (kN + 11k)/8

Multiplying the equation by 40, we have:

8kN + 44k = 5kN + 55k

Dividing the equation by k, we have:

8N + 44 = 5N + 55

3N = 11

N = 11/3

Answer: D
_________________

Jeffery Miller
Head of GMAT Instruction

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

Re: For each month of a given year except December &nbs [#permalink] 05 Sep 2018, 09:46
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

 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®.