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A company has 400 employees, 20 percent of whom have 5...

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by AAPL » Tue Mar 06, 2018 5:36 am
A company has 400 employees, 20 percent of whom have 5 or more years of work experience. If 40 additional employees are to be hired and all of the present employees remain, how many of the additional employees must have 5 or more years of work experience in order to raise the percentage of employees with 5 or more years of work experience to 25 percent?

A. 10
B. 15
C. 20
D. 25
E. 30

The OA is E.

It can be solve as follow,

20% of 400 is 0.2 * 400 = 80 employees with 5 or more exp.

If that company hires 40 new employees, the total employees are 440.

25% of 440 is 0.25 * 440 = 110 employees with 5 or more exp.

The additional employees with 5 or more exp are: 110 - 80 = 30, right?

Is there another strategic approach to this question? Can any experts help?
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by mbawisdom » Tue Mar 06, 2018 6:01 am
AAPL wrote:A company has 400 employees, 20 percent of whom have 5 or more years of work experience. If 40 additional employees are to be hired and all of the present employees remain, how many of the additional employees must have 5 or more years of work experience in order to raise the percentage of employees with 5 or more years of work experience to 25 percent?

A. 10
B. 15
C. 20
D. 25
E. 30

The OA is E.

It can be solve as follow,

20% of 400 is 0.2 * 400 = 80 employees with 5 or more exp.

If that company hires 40 new employees, the total employees are 440.

25% of 440 is 0.25 * 440 = 110 employees with 5 or more exp.

The additional employees with 5 or more exp are: 110 - 80 = 30, right?

Is there another strategic approach to this question? Can any experts help?
I would solve it the way you did it --> simple, clean, logical.

If you want another approach you could do it with weighted averages:

20*(10/11) + x(1/11) = 25
200 + x = 275
x = 75

So 75% of the 40 people need to have 5 years or more work experience.
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by Jeff@TargetTestPrep » Thu Mar 08, 2018 4:33 pm
AAPL wrote:A company has 400 employees, 20 percent of whom have 5 or more years of work experience. If 40 additional employees are to be hired and all of the present employees remain, how many of the additional employees must have 5 or more years of work experience in order to raise the percentage of employees with 5 or more years of work experience to 25 percent?

A. 10
B. 15
C. 20
D. 25
E. 30
We are given that a company has 400 employees and that 0.2 x 400 = 80 employees have 5 or more years of work experience.

We need to determine, if 40 more employees were hired, how many of those employees would need to have 5 or more years of work experience in order to raise the percent of employees with 5 or more years of work experience to 25 percent.

We can create the following equation in which x = the number of additional employees who have 5 or more years of work experience:

(80 + x)/(400 + 40) = 25/100

(80 + x)/440 = 1/4

4(80 + x) = 440

80 + x = 110

x = 30

Answer: E

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