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Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical

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Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical  [#permalink]

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New post 24 Mar 2007, 11:42
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Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/3, what percent of the total number of the remaining employees would then be clerical?

(A) 25%
(B) 22.2%
(C) 20%
(D) 12.5%
(E) 11.1%
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Re: Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical  [#permalink]

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New post 24 Mar 2007, 11:55
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Welcome, just post the question and the choices


Let's see, the way I did it was

1/3 are clerical out of 3600 so 1200 are clerical

1200 reduced by 1/3 is 1200*1/3

so it reduced 400 people , so there is 800 clerical people left

but since 400 people left, it also reduced from the total of 3600 so there are 3200 people total


since 800 clerical left / 3200 people total

you get (A) 25%
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Re: Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical  [#permalink]

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New post 04 Mar 2010, 02:37
Why do you divide by 3200 (= 3600-400) ?

May be it's due to my english skills and my understanding of "the clerical staff were to be reduced by 1/3" : I thought that the 400 persons were no more clerical but STILL employees of company X !

Thanks for explaining :)
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Re: Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical  [#permalink]

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New post 04 Mar 2010, 13:27
what percent of the total number of the remaining employees would then be clerical?

The questions states "remaining employees".
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Re: Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical  [#permalink]

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New post 25 Apr 2010, 11:00
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can do the same with smaller no.(though in thsi sum the numbers are easy to divide) this method will be very useful later

consider total members 90. 30 Cl.... 10 left

so 20/80=25%
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Re: Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical  [#permalink]

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New post 18 Oct 2014, 00:04
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nfa1rhp wrote:
I'm new to this community, what do you suggest is the best way for me to post my questions? I need lots of help with quant. Should I find a thread to post my question or is there a general place to place your questions. Below is a sample of a question, where would place this?

Of the 3,600 employees of Co X, 1/3 are clerical. If the clerical staff were to be reduced by 1/3, what percent of the total number of the remaining employees would then be clerical?


ANS
A) 25%
B) 22.2%
C) 20%
D) 12.5%
E) 11.1%

MY ISSUE IS FINDING A QUICK METHOD TO COMPUTE THIS PROBLEM


The figure 3600 is misleading. Since the answer demands percentages and the statements use ratio, we can pick any number to our convenience.
For easier calculation take 36
So clerical employees left = 36 x 1/3 x 1/3 = 4
Remaining clerical employees = 36 x 1/3 - 4 = 8
Total employees left = 36-4 = 32
Req percentage = (Remaining clerks/Total remaining employees)*100 = 8/32*100 = 25%
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Re: Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical  [#permalink]

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New post 05 Jun 2017, 15:59
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nfa1rhp wrote:
Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/3, what percent of the total number of the remaining employees would then be clerical?

(A) 25%
(B) 22.2%
(C) 20%
(D) 12.5%
(E) 11.1%


We are given that there are 1/3 x 3,600 = 1,200 clerical employees. If that number is reduced by 1/3, there are now 2/3 x 1,200 = 800 clerical employees. Also, the total number of employees at the company will be reduced from 3,600 to 3,200.

Thus, the new percentage of clerical employees would be 800/(3600 - 400) = 800/3200 = 25%.

Answer: A
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Re: Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical  [#permalink]

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New post 24 Nov 2019, 15:24
nfa1rhp wrote:
Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/3, what percent of the total number of the remaining employees would then be clerical?

(A) 25%
(B) 22.2%
(C) 20%
(D) 12.5%
(E) 11.1%



Why does (1/3)*(2/3) = (2/9) = 22.2% not suffice?

Thanks!
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Re: Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical  [#permalink]

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New post 29 Nov 2019, 09:31
I used ratios to solve this one:

From stem - Make a ratio of Clerical: Non-Clerical: Total
1:2:3

Pump that up so its easier to reduce clerical by a third:
3:6:9 -becomes -> 2:6:8 (3 - ⅓(3)=2))

2/8 =¼ = 25%

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Re: Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical   [#permalink] 29 Nov 2019, 09:31
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