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

 It is currently 24 Jun 2018, 18:56

### 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

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 June
Open Detailed Calendar

# There are 2 kinds of staff members in a certain company, PART TIME AND

Author Message
TAGS:

### Hide Tags

Manager
Joined: 29 Jun 2010
Posts: 232
Schools: LBS, Oxford
There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

10 Jul 2011, 20:35
7
00:00

Difficulty:

85% (hard)

Question Stats:

54% (01:38) correct 46% (01:25) wrong based on 253 sessions

### HideShow timer Statistics

There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.

A.1/4
B.1/5
C 1/6
D 1/7
E 1/8
Current Student
Joined: 26 May 2005
Posts: 531
Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

10 Jul 2011, 23:11
1
1
Alchemist1320 wrote:
There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.

A.1/4
B.1/5
C 1/6
D 1/7
E 1/8

Just plug in
Assuming there are 100 employees

25% are PT = 25
75% FT = 75

Assume that the total number of hrs FT employees have to work = 10
PT will work = 3/5*10 = 6

since the wages are same , there will no affect on ratios
total number of hrs FT employees work = 75*10 = 750
PT = 25*6 = 150

now the ratio is 150/900 = 1/6
Manager
Joined: 26 Nov 2014
Posts: 98
Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

02 Aug 2015, 11:55
25 PT & 75 FT

Total time taken by PT members for their work - 3
Total time taken by FT members for their work - 5

Wages were all same for both.

Total wages for PT members - 3*25 = 75
Total wages for FT members - 5*75 = 375

Ratio of total wages of part time members to Total wage of all members = 75:(75+375) = 1:6
Board of Directors
Joined: 17 Jul 2014
Posts: 2729
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

09 Jan 2016, 12:10
i tried to pick numbers rather than dive into algebra...
suppose we have total 20 workers: 5 workers part time, 15 workers full time.
suppose full time work 10 hours, part time 6 hours.
suppose pay is 1$/hour we then have: 5*6*1=30$ - pay for part time workers
and we have: 15*10*1=150$- pay for full time workers. total pay - 150+30=180$.

now, we need to have the ratio of pay for part time to total pay
30/180=1/6.
VP
Joined: 07 Dec 2014
Posts: 1020
There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

16 Jan 2016, 17:43
let 1 and 3=number of part time and full time workers respectively
let 3 and 5=number of hours per part time and full time worker respectively
(1)(3)=3 total part time worker hours
(3)(5)=15 total full time worker hours
3+15=18 total worker hours
assuming equal hourly pay, total wage ratio=3/18=1/6
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11825
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

18 Jan 2016, 11:53
Hi All,

This question is a 'lift' of an OG question:

GMAT2016: Problem Solving #175, page 177
OG13/GMAT2015: Problem Solving #151, page 173

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ ***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*********************** Manager Joined: 20 Jan 2017 Posts: 61 Location: United States (NY) Schools: CBS '20 (A) GMAT 1: 750 Q48 V44 GMAT 2: 610 Q34 V41 GPA: 3.92 Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink] ### Show Tags 17 Feb 2017, 05:33 For me the easiest way to understand this problem was to pick numbers: Part Time: 25 employees; 3 hours of work; 10$/h wage = Total earnings: 25*3*10=$750 Full Time: 75 employees; 5 hours of work; 10$/h wage = Total earnings: 75*5*10=$3750 PT&FT earnings:$750+$3750=$4500
$$PT/Total=\frac{750}{4500}=\frac{1}{6}$$
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2789
Location: United States (CA)
Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

23 Feb 2017, 10:26
1
Alchemist1320 wrote:
There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.

A.1/4
B.1/5
C 1/6
D 1/7
E 1/8

We can let the total staff members = x. Thus, 0.25x = part-time and 0.75x = full-time.

We can let f = the work time of each full-time member; thus, the work time of each part-time member is (3/5)f = 0.6f.

The total wage of the part-time members is (0.25x)(0.6f) = 0.15xf

The total wage for full-time members is 0.75xf.

Thus, the total wage for all members is 0.75xf + 0.15xf = 0.9xf, and the ratio of total wage of part-time members to total wage of all members is:

0.15xf/0.9xf = 15/90 = 1/6

_________________

Scott Woodbury-Stewart
Founder and CEO

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

Manager
Joined: 03 Jan 2017
Posts: 180
Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

11 Mar 2017, 09:25
I reached the 1/6 solution fast applying smart numbers
VP
Joined: 07 Dec 2014
Posts: 1020
Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

11 Mar 2017, 13:44
Alchemist1320 wrote:
There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.

A.1/4
B.1/5
C 1/6
D 1/7
E 1/8

25*3/5=15
75*5/5=75
15+75=90
15/90=1/6
C
Director
Joined: 13 Mar 2017
Posts: 610
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

04 Aug 2017, 08:00
Alchemist1320 wrote:
There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.

A.1/4
B.1/5
C 1/6
D 1/7
E 1/8

Let the total number of members be N
So part time members = .25N & Full time members = .75N

Let the wage be W per hour which is same for both full time and part time members.

Let the work time be T hours for full time members so it will be 3T/5 hours for part time members.

Ratio of total wage of part time members to total wage of full time members = .25N * W * (3T/5) / .75N * W * T = 1/5
Ratio of total wage of part time members to total wage of all the members = 1/(1+5) = 1/6

_________________

CAT 99th percentiler : VA 97.27 | DI-LR 96.84 | QA 98.04 | OA 98.95
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".

Manager
Joined: 26 Jun 2017
Posts: 243
Location: Russian Federation
Concentration: General Management, Strategy
WE: Information Technology (Other)
Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

26 May 2018, 16:29
Alchemist1320 wrote:
There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.

A.1/4
B.1/5
C 1/6
D 1/7
E 1/8

Can you tell me where is a mistake in this approach?

The answer = (1/4 * 3/8) / (1 * 1) = 3/32
1/4 - 25% of part-time workers.
3/8 - hours of part-time workers, 5/8 - hours of full-time workers (3/8=3/5 * 5/8)
1 - total namber of workers
1 - total number of hours
Senior Manager
Joined: 12 Feb 2015
Posts: 273
Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

26 May 2018, 19:17
Pick a smart number say 100
Part time - 25
Full time - 75

Let the number of hours required to be worked in a day are 10 & wage rate per hour be 10.
Total wage of part time = 25*10*3/5*10 = 1500
Total wage of full time = 75*10*10 = 7500
The required ratio of total wage of part time members to total wage of all members = $$\frac{1500}{1500+7500}$$
which is equal to $$\frac{1}{6}$$
_________________

"Please hit +1 Kudos if you like this post"

_________________
Manish

"Only I can change my life. No one can do it for me"

Manager
Joined: 26 Jun 2017
Posts: 243
Location: Russian Federation
Concentration: General Management, Strategy
WE: Information Technology (Other)
Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

26 May 2018, 19:47
CAMANISHPARMAR wrote:
Pick a smart number say 100
Part time - 25
Full time - 75

Let the number of hours required to be worked in a day are 10 & wage rate per hour be 10.
Total wage of part time = 25*10*3/5*10 = 1500
Total wage of full time = 75*10*10 = 7500
The required ratio of total wage of part time members to total wage of all members = $$\frac{1500}{1500+7500}$$
which is equal to $$\frac{1}{6}$$

No, no, thanks)

Of course I understand what guys have written here before. It is a good solution.

But I wanted to do it globally (without picking numbers), and I know that my logic is correct, but obviously I miss something, because get another answer (no option has it)
Senior Manager
Joined: 12 Feb 2015
Posts: 273
Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

26 May 2018, 19:52
DharLog wrote:
CAMANISHPARMAR wrote:
Pick a smart number say 100
Part time - 25
Full time - 75

Let the number of hours required to be worked in a day are 10 & wage rate per hour be 10.
Total wage of part time = 25*10*3/5*10 = 1500
Total wage of full time = 75*10*10 = 7500
The required ratio of total wage of part time members to total wage of all members = $$\frac{1500}{1500+7500}$$
which is equal to $$\frac{1}{6}$$

No, no, thanks)

Of course I understand what guys have written here before. It is a good solution.

But I wanted to do it globally (without picking numbers), and I know that my logic is correct, but obviously I miss something, because get another answer (no option has it)

Nice to know that you get it and you want to do it algebraically. Maybe my solution is useful to other users who often solve questions posted by other users.

All the best!
_________________

"Please hit +1 Kudos if you like this post"

_________________
Manish

"Only I can change my life. No one can do it for me"

Senior Manager
Joined: 12 Feb 2015
Posts: 273
There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

### Show Tags

26 May 2018, 21:19
1
CAMANISHPARMAR wrote:
Pick a smart number say 100
Part time - 25
Full time - 75

Let the number of hours required to be worked in a day are 10 & wage rate per hour be 10.
Total wage of part time = 25*10*3/5*10 = 1500
Total wage of full time = 75*10*10 = 7500
The required ratio of total wage of part time members to total wage of all members = $$\frac{1500}{1500+7500}$$
which is equal to $$\frac{1}{6}$$

Algebraically:-
Let the total number of employees be $$x$$
Therefor part-time will be $$\frac{x}{4}$$
fulltime will be $$\frac{3x}{4}$$

Let the number of hours required to be worked in a day are y hours & wage rate per hour be \$z per hour.

Total wage of part time = $$\frac{x}{4}*y*\frac{3}{5}*z$$ = $$\frac{3xyz}{20}$$
Total wage of full time = $$\frac{3x}{4}$$ $$* y * z =$$$$\frac{3xyz}{4}$$

The required ratio of total wage of part time members to total wage of all members = $$\frac{3xyz}{20}$$ divided by ($$\frac{3xyz}{20}$$ + $$\frac{3xyz}{4}$$)

which is equal to $$\frac{3xyz}{18xyz} = \frac{1}{6}$$

PS: Intuitively one could ignore the variables y and z if they did some pre-thinking and would have realized that these variables will have no effect on the final answer and will cancel out each other.
_________________

"Please hit +1 Kudos if you like this post"

_________________
Manish

"Only I can change my life. No one can do it for me"

There are 2 kinds of staff members in a certain company, PART TIME AND   [#permalink] 26 May 2018, 21:19
Display posts from previous: Sort by