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

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Intern
Joined: 27 Sep 2010
Posts: 27

Kudos [?]: 87 [1], given: 3

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

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23 Jan 2011, 02:57
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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 ?

Kudos [?]: 87 [1], given: 3

Math Expert
Joined: 02 Sep 2009
Posts: 41884

Kudos [?]: 129248 [0], given: 12196

Re: A manufacturing company employs staff.work full or part time [#permalink]

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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: $$\frac{female_f}{male_f}=\frac{3}{1}$$ --> $$\frac{female_f}{\frac{5*female_p}{6}}=\frac{3}{1}$$ --> $$\frac{female_p}{female_f}=\frac{2}{5}$$.
_________________

Kudos [?]: 129248 [0], given: 12196

Intern
Joined: 13 Oct 2010
Posts: 21

Kudos [?]: 8 [0], given: 0

Location: Milpitas, CA
Re: A manufacturing company employs staff.work full or part time [#permalink]

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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.
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+91-99201 32411 (India)

Kudos [?]: 8 [0], given: 0

Manager
Joined: 24 May 2013
Posts: 86

Kudos [?]: 35 [0], given: 99

Re: A manufacturing company employs staff.work full or part time [#permalink]

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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

Kudos [?]: 35 [0], given: 99

Re: A manufacturing company employs staff.work full or part time   [#permalink] 20 Mar 2016, 07:39
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