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

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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

OA D

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AAPL wrote:
Mon Apr 12, 2021 2:54 am
E-GMAT

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

OA 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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