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# A company has 540 employees, 40% of whom are employed part time. If it

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Intern
Joined: 16 Jul 2010
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A company has 540 employees, 40% of whom are employed part time. If it  [#permalink]

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19 Oct 2010, 08:06
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Difficulty:

55% (hard)

Question Stats:

67% (02:19) correct 33% (02:35) wrong based on 216 sessions

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A company has 540 employees, 40% of whom are employed part time. If it hires 60 new employees, 15% of whom are employed part time, what will be the percent increase in part time employees?

A) 1 2/3 %
B) 2 2/3 %
C) 4 %
D) 4 1/6 %
E) 9 %
Intern
Joined: 04 Mar 2009
Posts: 8
Re: A company has 540 employees, 40% of whom are employed part time. If it  [#permalink]

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19 Oct 2010, 08:38
40% of 540 is 216. Then the company hires 60 people. 15% of the 60 are part time. This amounts to 9. Add 216 + 9 = 225. This is an increase from 216. So the answer is D (9/216*100)
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Joined: 04 Aug 2010
Posts: 435
Schools: Dartmouth College
Re: A company has 540 employees, 40% of whom are employed part time. If it  [#permalink]

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19 Oct 2010, 08:43
Atrain13gm wrote:
A company has 540 employees, 40% of whom are employed part time. If it hires 60 new employees, 15% of whom are employed part time, what will be the percent increase in part time employees?

A) 1 2/3 %
B) 2 2/3 %
C) 4 %
D) 4 1/6 %
E) 9 %

There's actually a percent decrease in PT employees, so I don't understand what the question is asking.

The question is asking by what percentage the number of part-time employees will increase.

Original number = .4*540 = 216.
Additional part-timers = .15*60 = 9.
% increase = (9/216)*100 = 4 1/6%.
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Intern
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Re: A company has 540 employees, 40% of whom are employed part time. If it  [#permalink]

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19 Oct 2010, 08:48
Thanks - the wording isn't that clear.
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Re: A company has 540 employees, 40% of whom are employed part time. If it  [#permalink]

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19 Oct 2010, 08:53
Atrain13gm wrote:
Thanks - the wording isn't that clear.

I can understand your confusion. The GMAT would likely make it crystal clear what was being asked:

By what percent did the number of part-time employees increase?
By what percent did the ratio of part time employees to the total number of employees decrease?

Hope this helps!
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Joined: 05 Sep 2011
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Re: A company has 540 employees, 40% of whom are employed part time. If it  [#permalink]

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05 Sep 2011, 07:11
Hello !

I have just solved the problem and I wonder why there is a discrepancy between the actual answer and the answer choice D.

To me (9/216)*100 = 4,16666 which is not equal to 4 1/6 %

Or maybe it is because 4 1/6% actually means (4 + 1/6)% and not (4 * 1/6)% ? Is it an american way of writing decimal numbers (am foreigner) ?
Intern
Joined: 23 Aug 2011
Posts: 28
Re: A company has 540 employees, 40% of whom are employed part time. If it  [#permalink]

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05 Sep 2011, 09:47
Hi i have a small doubt it may be silly but iam confused,thanks to help me.

Actually 9 members were added to part time job.So the count has increased from 216 to 225(216+9).
So i thought 1st we should find 225 is what percent of 600 - 40%(the original) So that we can get the increase in the percent.
Can you plz tell me where did i go worng:(
Manager
Joined: 04 Jun 2011
Posts: 141
Re: A company has 540 employees, 40% of whom are employed part time. If it  [#permalink]

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06 Sep 2011, 08:12
yea i did the same mistake first... was getting 225/600 as 37% but since the question asked increase..

i reverted to the methods suggested above... if the overall percentage was asked.. i think we could have attempted such a method... but since the q asks percentage increase of part time employees, 9/216*100 i the approriate calc
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Joined: 02 Nov 2013
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Re: A company has 540 employees, 40% of whom are employed part time. If it  [#permalink]

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16 Dec 2016, 03:02
With 540 of employees, part time employed are 40% - 216 and 60% are full time - 324.
After hiring 60 new employees, 15% are part time i.e. 9 and 51 are full time.

Percent increase in the part time employees are (9/216)*100 = 25/6

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Re: A company has 540 employees, 40% of whom are employed part time. If it  [#permalink]

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17 Dec 2016, 08:38
Atrain13gm wrote:
A company has 540 employees, 40% of whom are employed part time. If it hires 60 new employees, 15% of whom are employed part time, what will be the percent increase in part time employees?

A) 1 2/3 %
B) 2 2/3 %
C) 4 %
D) 4 1/6 %
E) 9 %

Total employees = 540 ; Part time = 216 ; Full Time = 324
Quote:
If it hires 60 new employees, 15% of whom are employed part time,

Total employees = 60 ; Part time = 9 ; Full Time = 51

After recruitment of 60 New employees -

Total employees = 600 ; Part time = 225 ; Full Time = 375

Quote:
What will be the percent increase in part time employees?

% Increase = $$\frac{9}{216}*100$$ = $$4\frac{1}{6}$$

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A company has 540 employees, 40% of whom are employed part time. If it  [#permalink]

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21 Dec 2018, 16:12
Atrain13gm wrote:
A company has 540 employees, 40% of whom are employed part time. If it hires 60 new employees, 15% of whom are employed part time, what will be the percent increase in part time employees?

A) 1 2/3 %
B) 2 2/3 %
C) 4 %
D) 4 1/6 %
E) 9 %

Total employees $$= 540$$

Part time employees $$= 40$$% of $$540 = \frac{40}{100}* 540 = 216$$

Total number of new hires $$= 60$$

Part time employees in new hires $$= 15$$% of $$60 = \frac{15}{100} * 60 = 9$$

% increase of part time employees $$= ($$ Difference of part time employees $$/$$ Original number of part time employee$$) * 100$$

Difference of part time employees is the increase of part time employee. That is $$= 9$$

Therefore Required percentage $$= \frac{9}{216} * 100 = 4 \frac{1}{6}$$ %

A company has 540 employees, 40% of whom are employed part time. If it   [#permalink] 21 Dec 2018, 16:12
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