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

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

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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Source: Beat The GMAT — Problem Solving | Thu Nov 05, 2020 8:23 am

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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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