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# The workforce of Company X is 60% female. The company hired 20

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Manager
Joined: 13 Jun 2012
Posts: 204
Location: United States
WE: Supply Chain Management (Computer Hardware)
The workforce of Company X is 60% female. The company hired 20  [#permalink]

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28 Apr 2015, 14:27
2
4
00:00

Difficulty:

65% (hard)

Question Stats:

60% (02:09) correct 40% (02:11) wrong based on 81 sessions

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The workforce of Company X is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?

1.160
2.220
3.240
4.360
5.420
Retired Moderator
Joined: 06 Jul 2014
Posts: 1229
Location: Ukraine
Concentration: Entrepreneurship, Technology
GMAT 1: 660 Q48 V33
GMAT 2: 740 Q50 V40
The workforce of Company X is 60% female. The company hired 20  [#permalink]

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28 Apr 2015, 14:45
2
1
Turkish wrote:
The workforce of Company X is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?

1.160
2.220
3.240
4.360
5.420

Let's $$x$$ be total quantity of employees

$$0.6x=females$$ before adding men
$$0.55(x+20)=females$$ after adding men
as quantity of women doesn't change we can make an equation:
$$0.6x=0.55(x+20)$$
$$0.05x=11$$
$$x=220$$ - this is quantity of employees before adding $$20$$ men
So after adding it wil be $$240$$

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Re: The workforce of Company X is 60% female. The company hired 20  [#permalink]

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28 Apr 2015, 19:54
2
Hi Turkish,

This question can be solved by TESTing THE ANSWERS.

We're told that a company is comprised of 60% female employees. After hiring an ADDITIONAL 20 male employees, the company is then comprised of 55% female employees. We're asked for the TOTAL number of employees that the company had AFTER hiring the 20 additional male employees.

We need to start with the initial group of employees, which means that we have to SUBTRACT 20 from each of the answer choices before we start our calculations.

220 - 20 = 200 original employees
60%(200) = 120 females

After the 20 males were hired...
120/220 = 12/22 = 5/11 = .4545 = about 45.5% female
This is TOO SMALL. Eliminate B.

360 - 20 = 340 original employees
60%(340) = 204 females

After the 20 males were hired....
204/360 = 51/90 = 17/30 = 56.666 = 56 2/3% female
This is TOO BIG. Eliminate D.

Since Answer B is too SMALL and Answer D is too BIG, the correct answer MUST be between these two...

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Manager
Joined: 08 Oct 2013
Posts: 50
Re: The workforce of Company X is 60% female. The company hired 20  [#permalink]

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16 May 2015, 23:52
Turkish wrote:
The workforce of Company X is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?

1.160
2.220
3.240
4.360
5.420

Took 4 minutes to answer this just because I was confused what approach to take (percentage/ number plug in/ ratios)

Once you figure out that this is a ratio question, its pretty straightforward.

Initially:
m + f = Total
m/f = 40/60 = 2/3 (Ratio 1)

Later:
m+20/ f = 45/55 = 9/11 (Ratio 2)

Plug Ratio 1 in to Ratio 2 we get:
(2m + 40)/ 3m = 9/11

simplifying this we get Total men = 108 and total women = 132

132 + 108 = 240 Answer C

Please note we are asked for m + 20 + f (the new total) and not just m + f (old total)

Regards,
Aj
VP
Joined: 05 Mar 2015
Posts: 1001
Re: The workforce of Company X is 60% female. The company hired 20  [#permalink]

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28 May 2016, 07:05
Turkish wrote:
The workforce of Company X is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?

1.160
2.220
3.240
4.360
5.420

Let toal no. of employees=x
No of female before hiring males=60x/100
after hiring total employees=x+20
no of females now=55(x+20)/100
As no. of females were same before and after hiring process so,
60x/100=55(x+20)/100
x=220
so after hiring 20 males=220+20=240
Ans C
Senior Manager
Joined: 18 Jan 2010
Posts: 251
The workforce of Company X is 60% female. The company hired 20  [#permalink]

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28 May 2016, 07:44
Turkish wrote:
The workforce of Company X is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?

1.160
2.220
3.240
4.360
5.420

Let Total workforce is x.
Females: 0.6x
Males: 0.4x

20 male workers are hired.

Total: x+20
Females: 0.6x
Males: 0.4x+20

$$\frac{0.6x}{x+20}$$ = 0.55

0.6x= 0.55x+11
0.05x = 11

x = 220

Company had x+20 employees that is 240 employees after hiring male workers.
Manager
Joined: 22 Sep 2018
Posts: 246
The workforce of Company X is 60% female. The company hired 20  [#permalink]

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07 Feb 2019, 14:00
Turkish wrote:
The workforce of Company X is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?

1.160
2.220
3.240
4.360
5.420

Got tricked by How many employees did the company have after hiring the additional male workers?

$$\frac{.6x}{x+20} = 0.55$$

Solve for x and we get 220. Add the additional 20 employees and we get 240
The workforce of Company X is 60% female. The company hired 20   [#permalink] 07 Feb 2019, 14:00
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