If 65 percent of a certain firm’s employees are full-time and if there

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pm; Followed by:1 members

If 65 percent of a certain firm’s employees are full-time and if there

by BTGModeratorVI » Thu May 07, 2020 5:55 am

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If 65 percent of a certain firm’s employees are full-time and if there are 5,100 more full-time employees than part-time employees, how many employees does the firm have?

(A) 8,250
(B) 10,200
(C) 11,050
(D) 16,500
(E) 17,000

Answer: E
Source: Official guide 2021

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Source: Beat The GMAT — Problem Solving | Thu May 07, 2020 5:55 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: If 65 percent of a certain firm’s employees are full-time and if there

by Scott@TargetTestPrep » Sun May 10, 2020 11:45 am

BTGModeratorVI wrote: ↑
Thu May 07, 2020 5:55 am
If 65 percent of a certain firm’s employees are full-time and if there are 5,100 more full-time employees than part-time employees, how many employees does the firm have?

(A) 8,250
(B) 10,200
(C) 11,050
(D) 16,500
(E) 17,000

Answer: E
Source: Official guide 2021

If 65 percent of the firm’s employees are full-time, then 35 percent of the firm’s employees are part-time. We see that full-time employees exceed part-time employees by 30 percent. Since we know that is 5,100, we can create the equation:

5,100 / x = 30 / 100

30x = 510,000

x = 17,000

Answer: E

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