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by arellalu » Thu Aug 09, 2012 3:56 pm
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 average employee salary was 10% more after the decrease in number of employees than before the decrease. The total of the combined salaries of all the employees at Company E after the layouts was what percent of that before the layouts?

90%

99%

100%

101%

110%
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by GMATGuruNY » Thu Aug 09, 2012 5:42 pm
arellalu wrote: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 average employee salary was 10% more after the decrease in number of employees than before the decrease. The total of the combined salaries of all the employees at Company E after the layouts was what percent of that before the layouts?

90%

99%

100%

101%

110%
Let the original number of employees = 10.
Let the original average salary = 10.
Sum of the salaries = number*average = 10*10 = 100.

Number of employees decreased by 10% = 9.
Average salary increased by 10% = 11.
New sum = number*average = 9*11 = 99.

New sum/Original sum = 99/100 = 99%.

The correct answer is B.
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by truplayer256 » Thu Aug 09, 2012 8:18 pm
An algebraic approach:
Let the current employees at Company E be x and let the salary of each employee be d.
Last year, the amount of employees was 0.9(x) or x - 0.10(x) due to a 10% decrease.
After the decrease, we know that the average salary of each employee will be 1.10d because of the 10% increase.

Total combined salaries of all employees at company E after layout = 1.10d(0.9x) = 0.99dx, which is 99% of the combined salaries of all the employees before the layouts.

Choose B.
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by sureshcpa » Thu Aug 09, 2012 9:39 pm
Before layoff employee # : 100
Salary : 100

After layoff employee # : 90
Salary (10% average increase) : 90 + 9 = 99 ( 99 is 99% of 100)

Ans: B
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by cypherskull » Tue Aug 14, 2012 2:07 pm
Let n be the # of employees and a be avg salary of each employee (before the layoffs)

Therefore,

total salary amount before layoff = a*n - (1)

After layoff,

10% decrease in employees = 9n/10
10% increase in avg salary = 11a/10

total salary amount after layoff = 99(a*n)/100 - (2)

Hence, required percentage = (2)/(1) = [99(a*n)/100]/(a*n) = 99%

Answer B
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