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# On July 1 of last year, total employees at company E was dec

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On July 1 of last year, total employees at company E was dec [#permalink]  09 Oct 2009, 19:59
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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%
[Reveal] Spoiler: OA
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Re: Ratios and Percents - Employee salaries [#permalink]  09 Oct 2009, 21:06
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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%

# 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 - $$1.1*0.9*xy=0.99xy$$ --> $$\frac{0.99xy}{xy}*100=99%$$.

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Re: Ratios and Percents - Employee salaries [#permalink]  19 May 2010, 19:26
Bunuel wrote:
On July 1 of last year, total employees at company E was decreased by 10%. Without any change in the salaries of the remaining employees, the average employee salary was 10% 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 of last year?

# 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 --> (1.1*0.9*XY)/XY*100=99%

Bunuel, I would disagree with you here ....the question said that there was no decrease in the salary of other employees but you wrote 1.1Y ...shouldnt it still be Y after the change ?
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Re: Ratios and Percents - Employee salaries [#permalink]  20 May 2010, 01:29
Expert's post
dimitri92 wrote:
Bunuel wrote:
On July 1 of last year, total employees at company E was decreased by 10%. Without any change in the salaries of the remaining employees, the average employee salary was 10% 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 of last year?

# 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 --> (1.1*0.9*XY)/XY*100=99%

Bunuel, I would disagree with you here ....the question said that there was no decrease in the salary of other employees but you wrote 1.1Y ...shouldnt it still be Y after the change ?

"the average employee salary was 10% more after the decrease in the number of employees than before the decrease."
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Re: Question Help [#permalink]  07 Dec 2010, 18:01
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dc123 wrote:
On july 1st of last year, the total number of employees at company E was decreased by 10%. Without any change in the salaries of the remaining employees, the avg employee salary was 10% more after the decrease in number of employees that before the decrease. The total combine salaries of all the employees at company E after July 1 last year was what percent of the before july 1 of last year?

90%

99%

100%

101%

110%

Help plz....

Question with percentages and answer also in percentages. The first and only thing I want to do is assume values.

Initial total no of emp = 100 (assumed value)
Initial total salary = 100 (assumed value)
Initial average = $1/emp (100/100 = 1) New total no of emp = 90 (10% decrease) New average salary =$1.1/emp (10% increase)
New total salary = 90*1.1 = 99
So new total salary is 99% of initial total salary.
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Manager Joined: 01 Jan 2013 Posts: 68 Location: India Followers: 0 Kudos [?]: 19 [0], given: 131 Re: On July 1 of last year, total employees at company E was dec [#permalink] 26 Oct 2013, 01:40 shanewyatt wrote: 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% TotalSalarynew = Empnew X AverageSalnew TotalSalarynew = 9/10 Empold X 11/10 AverageSalold TotalSalarynew = 99/100 TotalSalaryold GMAT Club Legend Joined: 09 Sep 2013 Posts: 6757 Followers: 365 Kudos [?]: 82 [0], given: 0 Re: On July 1 of last year, total employees at company E was dec [#permalink] 15 Nov 2014, 06:04 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. _________________ Intern Joined: 18 Aug 2015 Posts: 4 Followers: 0 Kudos [?]: 0 [0], given: 16 On July 1 of last year, the total number of employees at Company E was [#permalink] 28 Sep 2015, 05:45 On July 1 of last year, the total number of 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 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? (A) 90% (B) 99% (C) 100% (D) 101% (E) 110% Math Expert Joined: 02 Sep 2009 Posts: 29776 Followers: 4896 Kudos [?]: 53431 [0], given: 8160 Re: On July 1 of last year, total employees at company E was dec [#permalink] 28 Sep 2015, 07:18 Expert's post NicolasMerigo93 wrote: On July 1 of last year, the total number of 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 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? (A) 90% (B) 99% (C) 100% (D) 101% (E) 110% Merging topics. Please refer to the discussion above. _________________ Intern Joined: 11 Sep 2015 Posts: 34 Location: Canada Followers: 4 Kudos [?]: 28 [1] , given: 0 Re: On July 1 of last year, total employees at company E was dec [#permalink] 28 Sep 2015, 07:21 1 This post received KUDOS shanewyatt wrote: 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% Choose some nice values that satisfy the given information. BEFORE July 1 Let's say that there were 10 employees And let's say the average salary was$10.
TOTAL payroll = (10)($10) =$100

Number of employees decreases by 10%
Average salary increases by 10%
So....

AFTER July 1
There are 9 employees
Average salary is $11. TOTAL payroll = (9)($11) =$99 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? 99/100 = [spoiler]99%[/spoiler] Answer: B _________________ Brent Hanneson - Founder of GMAT Prep Now Our free & comprehensive GMAT course has over 500 videos - http://www.gmatprepnow.com/ Optimus Prep Instructor Joined: 06 Nov 2014 Posts: 590 Followers: 8 Kudos [?]: 110 [1] , given: 2 Re: On July 1 of last year, total employees at company E was dec [#permalink] 28 Sep 2015, 20:47 1 This post received KUDOS Expert's post NicolasMerigo93 wrote: On July 1 of last year, the total number of 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 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? (A) 90% (B) 99% (C) 100% (D) 101% (E) 110% If we try to solve this question by assuming values, it becomes fairly easy. Let initial total employees on July 1= 100 Let the initial salary =$100
Average = $1 New number of employees after 10% decrease = 90 New average salary after 10% increase=$1.1

New salary = 90*1.1 = 99
Which is 99% of the initial salary

Correct choice: B
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Re: On July 1 of last year, total employees at company E was dec   [#permalink] 28 Sep 2015, 20:47
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