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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All the employees of Company \(X\) were appraised at the year end. \(40\%\) of the employees got a promotion, \(50\%\)
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Solution:VJesus12 wrote: ↑Thu Nov 05, 2020 8:23 amAll 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
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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