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All the employees of Company \(X\) were appraised at the year end. \(40\%\) of the employees got a promotion, \(50\%\)

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by VJesus12 » Thu Nov 05, 2020 8:23 am

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All the employees of Company \(X\) were appraised at the year end. \(40\%\) of the employees got a promotion, \(50\%\) of the employees got a salary hike and \(30\%\) of the employees neither got a promotion nor got a salary hike. If there were \(40\) employees who got both the promotion and the salary hike, what was the number of employees in the company?

A. 100
B. 120
C. 150
D. 200
E. 250

Answer: D

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Re: All the employees of Company \(X\) were appraised at the year end. \(40\%\) of the employees got a promotion, \(50\%

by Scott@TargetTestPrep » Tue Nov 10, 2020 6:15 am
VJesus12 wrote: ↑
Thu Nov 05, 2020 8:23 am
 All the employees of Company \(X\) were appraised at the year end. \(40\%\) of the employees got a promotion, \(50\%\) of the employees got a salary hike and \(30\%\) of the employees neither got a promotion nor got a salary hike. If there were \(40\) employees who got both the promotion and the salary hike, what was the number of employees in the company?

A. 100
B. 120
C. 150
D. 200
E. 250

Answer: D

Solution:

We can let x = the total number of employees and create the equation:

#(Total) = #(Promotion) + #(Salary Hike) - #(Both) + #(Neither)

x = 0.4x + 0.5x - 40 + 0.3x

x = 1.2x - 40

40 = 0.2x

200 = x

Answer: D

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