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Confusing percent question....easy but I can't see it

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by myfish » Fri Sep 23, 2011 3:29 pm
The average new salary increased by 10 percent. If I work with the magic 100 then the new average salary is 110. The total combined salary after the increase is what percent of the total bevore the increase? 110% - wrong. Any suggestions? Thanks a lot.

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by GMATGuruNY » Fri Sep 23, 2011 6:47 pm
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?

90
99
100
101
110
Let original number of employees = 10.
Let original average salary = 10.
Original combined salaries = number*average = 10*10 = 100.

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

New combined salaries/Original combined salaries = 99/100 = 99%.

The correct answer is B.
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by nimish » Fri Sep 23, 2011 7:06 pm
GMATGuruNY 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?

90
99
100
101
110
Let original number of employees = 10.
Let original average salary = 10.
Original combined salaries = number*average = 10*10 = 100.

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

New combined salaries/Original combined salaries = 99/100 = 99%.

The correct answer is B.
In general, if it is a % question, we take 100. But here you have made your calculation taking 10 as original employees. By taking 100, I am also getting answer as 110.
What is the reason for taking 10 instead of 100?
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by GMATGuruNY » Fri Sep 23, 2011 7:12 pm
nimish wrote:
GMATGuruNY 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?

90
99
100
101
110
Let original number of employees = 10.
Let original average salary = 10.
Original combined salaries = number*average = 10*10 = 100.

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

New combined salaries/Original combined salaries = 99/100 = 99%.

The correct answer is B.
In general, if it is a % question, we take 100. But here you have made your calculation taking 10 as original employees. By taking 100, I am also getting answer as 110.
What is the reason for taking 10 instead of 100?
I chose 10 for the number of employees and 10 for the average salary so that the combined salaries would be 100.
The answer is the same regardless of the number of employees:

Let original number of employees = 100.
Let original average salary = 10.
Original combined salaries = number*average = 100*10 = 1000.

Number of employees decreased by 10% = 90.
Average salary increased by 10% = 11.
New combined salaries = number*average = 90*11 = 990.

New combined salaries/Original combined salaries = 990/1000 = 99%.

With 100 employees, the correct answer remains B.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
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by myfish » Fri Sep 23, 2011 8:29 pm
Thanks GMATGuruNY! I guess this is a typical GMAT question. 'The average salary' are the key words. Its simple math with trippy language. Very typical and tiring.


[quote="GMATGuruNY"][quote="nimish"][quote="GMATGuruNY"][quote]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?

90
99
100
101
110[/quote]

Let original number of employees = 10.
Let original average salary = 10.
Original combined salaries = number*average = 10*10 = 100.

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

New combined salaries/Original combined salaries = 99/100 = 99%.

The correct answer is [spoiler]B[/spoiler].[/quote]

In general, if it is a % question, we take 100. But here you have made your calculation taking 10 as original employees. By taking 100, I am also getting answer as 110.
What is the reason for taking 10 instead of 100?[/quote]

I chose 10 for the number of employees and 10 for the average salary so that the combined salaries would be 100.
The answer is the same regardless of the number of employees:

Let original number of employees = 100.
Let original average salary = 10.
Original combined salaries = number*average = 100*10 = 1000.

Number of employees decreased by 10% = 90.
Average salary increased by 10% = 11.
New combined salaries = number*average = 90*11 = 990.

New combined salaries/Original combined salaries = 990/1000 = 99%.

With 100 employees, the correct answer remains [spoiler]B[/spoiler].[/quote]
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