Overlapping Sets, Percents And Interest Problems

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swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Wed Aug 19, 2020 12:12 pm

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Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 50% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?

A. 60%
B. 50%
C. 25%
D. 15%
E. 10%

The OA is D

Source: Economist GMAT

Source: Beat The GMAT — Problem Solving | Wed Aug 19, 2020 12:12 pm

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: Overlapping Sets, Percents And Interest Problems

by Scott@TargetTestPrep » Sat Aug 22, 2020 10:47 am

swerve wrote: ↑
Wed Aug 19, 2020 12:12 pm
Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 50% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?

A. 60%
B. 50%
C. 25%
D. 15%
E. 10%

The OA is D

Solution:

We can use the formula:

Total = Finance + Marketing - Both + Neither

100 = 25 + 50 - Both + 40

100 = 115 - Both

Both = 15

Answer: D

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