On July 1 of last year, total employees at company E was dec : GMAT Problem Solving (PS)
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# On July 1 of last year, total employees at company E was dec

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Senior Manager
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On July 1 of last year, total employees at company E was dec [#permalink]

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04 Jul 2006, 02:18
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Question Stats:

75% (02:15) correct 25% (01:01) wrong based on 220 sessions

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On July 1 of last year, total employees at company E was decreased by 10 percent. Without any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. The total of the combined salaries of all the employees at Company E after July 1 last year was what percent of that before July 1 last year?

A. 90%
B. 99%
C. 100%
D. 101%
E. 110%

OPEN DISCUSSION OF THIS QUESTION IS HERE: on-july-1-of-last-year-total-employees-at-company-e-was-dec-85071.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 16 Sep 2013, 15:04, edited 1 time in total.
Edited the question and added the OA.
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04 Jul 2006, 02:36
B

Let the number of employess before Jul 1 be 100
Then Av sal1 = Total1/100

After Jul 1 employees = 90
Av Sal2 = Total2/90
Now from the question

Av2 = Av1 + 10%

Total2/90 = Total1/100 + 1/10 * Total1/100
Total2/90 = 11Total1/1000
Total2 = 99total1/100

Now Percent = Total2/Total1 * 100
= 99Total1/Total1
= 99
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04 Jul 2006, 07:41
M8 wrote:
On July 1, of last year, the total number of employees at Company E was decreased by 10 percent. Wothout any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in number of employees than before the decrease. The total of the combined salaries of all of the employees at Company E after July 1 last year was what percent of that before July 1 last year?

1) 90
2) 99
3) 100
4) 101
5) 110

Sa = before July 1, A=mean
Sb = after July 1, B=mean

1. B = 1.10*A
2. (Sa/100) = A
3. (Sb/90) = B

Substitute above three equations to find Sb/Sa = 99
B
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04 Jul 2006, 08:54
2
KUDOS
M8 wrote:
On July 1, of last year, the total number of employees at Company E was decreased by 10 percent. Wothout any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in number of employees than before the decrease. The total of the combined salaries of all of the employees at Company E after July 1 last year was what percent of that before July 1 last year?

1) 90
2) 99
3) 100
4) 101
5) 110

before
the total number of employees = n
the average salary = x
total salary to all emplyoees = xn

after
the total number of employees = n - 0.1n = 0.9n
the average salary = x + 10% of x = 1.1x
total salary to all emplyoees = 0.9n (1.1x)

total salary after as a % of total salary before = [0.9n (1.1x)]/xn= 0.99 or 99%
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04 Jul 2006, 09:04
3
KUDOS
B.

Sustitute numbers -- 100 employees pre july 1 last year, $100 per employee pre july 1 last year Pre: (100 employees)*(100 salary) = 10,000 total salary Post: (90 employees)*(110 salary) = 9,900 total salary 9900=(x/100)(10,000) x = 99 99% GMAT Club Legend Joined: 09 Sep 2013 Posts: 12867 Followers: 559 Kudos [?]: 157 [0], given: 0 Re: On July 1, of last year, the total number of employees at [#permalink] ### Show Tags 16 Sep 2013, 14:43 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Math Expert Joined: 02 Sep 2009 Posts: 35843 Followers: 6836 Kudos [?]: 89851 [6] , given: 10381 Re: On July 1 of last year, total employees at company E was dec [#permalink] ### Show Tags 16 Sep 2013, 15:05 6 This post received KUDOS Expert's post 7 This post was BOOKMARKED On July 1 of last year, total employees at company E was decreased by 10 percent. Without any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. The total of the combined salaries of all the employees at Company E after July 1 last year was what percent of that before July 1 last year? A. 90% B. 99% C. 100% D. 101% E. 110% # of employees before July 1 - $$x$$; # of employees after July 1 - $$0.9x$$; Average salary before July 1 - $$y$$; Average salary after July 1 - $$1.1y$$; Total salary before July 1 - $$xy$$; Total salary after July 1 - $$1.1*0.9*xy=0.99xy$$ --> $$\frac{0.99xy}{xy}*100=99%$$. Answer B. OPEN DISCUSSION OF THIS QUESTION IS HERE: on-july-1-of-last-year-total-employees-at-company-e-was-dec-85071.html _________________ Re: On July 1 of last year, total employees at company E was dec [#permalink] 16 Sep 2013, 15:05 Similar topics Replies Last post Similar Topics: 5 Last year the range of the annual salaries of the 100 employees 2 14 Aug 2016, 09:49 2 Company Z spent 1/4 of its revenues last year on marketing and 1/7 of 5 12 Dec 2015, 08:23 9 In an IT company, there are a total of 110 employees including 50 8 20 May 2015, 23:52 7 Last year, Company X paid out a total of$1,050,000 in salaries to its 7 20 Apr 2015, 06:53
29 On July 1 of last year, total employees at company E was dec 12 09 Oct 2009, 19:59
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