Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 18 Jul 2019, 00:02

### 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

# A manufacturing company employs staff.work full or part time

Author Message
TAGS:

### Hide Tags

Intern
Joined: 27 Sep 2010
Posts: 24
A manufacturing company employs staff.work full or part time  [#permalink]

### Show Tags

23 Jan 2011, 02:57
1
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:45) correct 0% (00:00) wrong based on 6 sessions

### HideShow timer Statistics

Q) A manufacturing company employs staff who work either on full time basis or on part time basis. The ratio of number of males who work on part time basis to the number of males who work on full time basis is 4 to 5.And the ratio of number of females who work on part time basis to the number of males who work on part time basis is 3 to 2.If the ratio of the number of females who work on full time basis to the number of males who work on full time basis is 3:1, what is the ratio of number of females who work on part time basis to the number of females who work on full time basis ?

Math Expert
Joined: 02 Sep 2009
Posts: 56272
Re: A manufacturing company employs staff.work full or part time  [#permalink]

### Show Tags

23 Jan 2011, 04:19
MichelleSavina wrote:
Q) A manufacturing company employs staff who work either on full time basis or on part time basis. The ratio of number of males who work on part time basis to the number of males who work on full time basis is 4 to 5. And the ratio of number of females who work on part time basis to the number of males who work on part time basis is 3 to 2. If the ratio of the number of females who work on full time basis to the number of males who work on full time basis is 3:1, what is the ratio of number of females who work on part time basis to the number of females who work on full time basis ?

The ratio of number of males who work on part time basis to the number of males who work on full time basis is 4 to 5: $$\frac{male_p}{male_f}=\frac{4}{5}$$;

The ratio of number of females who work on part time basis to the number of males who work on part time basis is 3 to 2: $$\frac{female_p}{male_p}=\frac{3}{2}=\frac{6}{4}$$, so from above: $$\frac{female_p}{male_f}=\frac{6}{5}$$ --> $$male_f=\frac{5*female_p}{6}$$;

The ratio of the number of females who work on full time basis to the number of males who work on full time basis is 3:1: $$\frac{female_f}{male_f}=\frac{3}{1}$$ --> $$\frac{female_f}{\frac{5*female_p}{6}}=\frac{3}{1}$$ --> $$\frac{female_p}{female_f}=\frac{2}{5}$$.
_________________
Intern
Joined: 13 Oct 2010
Posts: 20
Location: Milpitas, CA
Re: A manufacturing company employs staff.work full or part time  [#permalink]

### Show Tags

23 Jan 2011, 04:38
MichelleSavina wrote:
A manufacturing company employs staff who work either on full time basis or on part time basis. The ratio of number of males who work on part time basis to the number of males who work on full time basis is 4 to 5.And the ratio of number of females who work on part time basis to the number of males who work on part time basis is 3 to 2.If the ratio of the number of females who work on full time basis to the number of males who work on full time basis is 3:1, what is the ratio of number of females who work on part time basis to the number of females who work on full time basis ?

Say,
Number of part-time male = m
Number of full-time male = M
Number of part-time female = f
Number of full-time female = F

Hence,
m:M = 4:5 => m = (4M/5) => M = (5m/4)
f:m = 3:2 => f = (3m/2)
F:M = 3:1 => F = 3M = (15m/4)

Therefore, $$\frac{f}{F} = (\frac{3m}{2})/(\frac{15m}{4}) = \frac{3}{2}*\frac{4}{15} = \frac{2}{5}$$
_________________
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
+91-99201 32411 (India)
Manager
Joined: 24 May 2013
Posts: 79
Re: A manufacturing company employs staff.work full or part time  [#permalink]

### Show Tags

20 Mar 2016, 07:39
A manufacturing company employs staff who work either on full time basis or on part time basis. The ratio of number of males who work on part time basis to the number of males who work on full time basis is 4 to 5.And the ratio of number of females who work on part time basis to the number of males who work on part time basis is 3 to 2.If the ratio of the number of females who work on full time basis to the number of males who work on full time basis is 3:1, what is the ratio of number of females who work on part time basis to the number of females who work on full time basis ?

Mp =Male part time, Fp= female part time, Mf= male full time, Ff= female full time
Given,
Mp/Mf=4/5---------------(1)
Fp/Mp=3/2-----------------(2)
Ff/Mf=3/1-----------------(3)
Fp/Ff=? = (2)*(1)/(3) = 2:5
VP
Joined: 09 Mar 2018
Posts: 1002
Location: India
Re: A manufacturing company employs staff.work full or part time  [#permalink]

### Show Tags

26 Sep 2018, 05:34
We can even solve this question using the 2 variable Table approach.

Where
pt is Part Time job
ft is Part Time job

Since we are given ratios we can take apt values to give us those values.

1) ratio of number of males who work on part time basis to the number of males who work on full time basis is 4 to 5
M pt : M ft = 40:50

2) ratio of number of females who work on part time basis to the number of males who work on part time basis is 3 to 2
F pt : M pt = 60:40

3) ratio of the number of females who work on full time basis to the number of males who work on full time basis is 3:1,
F ft : M ft = 150:50

To Find the ratio of number of females who work on part time basis to the number of females who work on full time basis

F pt : F ft = 60 : 150
F pt : F ft = 2: 5

Table Representation for the same

M F Total
PT 40 60 100
FT 50 150 200
Total 90 120 300

_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Re: A manufacturing company employs staff.work full or part time   [#permalink] 26 Sep 2018, 05:34
Display posts from previous: Sort by