40% of all high school students hate roller coasters; the

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AAPL: Moderator; Posts: 2599; Joined: Sun Oct 29, 2017 2:08 pm; Followed by:2 members

40% of all high school students hate roller coasters; the

by AAPL » Wed Sep 18, 2019 2:19 am

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40% of all high school students hate roller coasters; the rest love them. 20% of those students who love roller coasters own chinchillas. What percentage of students love roller coasters but do not own a chinchilla?

A. 12%
B. 20%
C. 48%
D. 60%
E. 80%

OA C

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Source: Beat The GMAT — Problem Solving | Wed Sep 18, 2019 2:19 am

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

by Jay@ManhattanReview » Thu Sep 19, 2019 10:49 pm

AAPL wrote:Manhattan Prep

40% of all high school students hate roller coasters; the rest love them. 20% of those students who love roller coasters own chinchillas. What percentage of students love roller coasters but do not own a chinchilla?

A. 12%
B. 20%
C. 48%
D. 60%
E. 80%

OA C

Given that 40% of all high school students hate roller coasters; the rest love them, 60% of all high school students love roller coasters. Thus, 20% of 60% = 12% own chinchillas. Thus, 60% - 12% = 48% don't own chinchillas.

The correct answer: C

Hope this helps!

-Jay
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deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pm; Followed by:5 members

by deloitte247 » Sat Sep 21, 2019 1:27 am

40% hate roller coasters
60% love roller coasters
out of the 60% that love roller coaster; 20% own chinchilla and 8 students that do not own chinchilla = 100 - 20 = 80

Let the total number of students = 100
40% hate roller coasters => 40% of 100 = 40
i.e 40 hate roller coasters

Total students that love roller coaster = 100 - 40 = 60
Out of the 60 students that love roller coasters; 20% own chinchilla
i.e 20% of 60 students own chinchilla
$$\frac{20}{100}\cdot60=12\ students\ own\ chinchilla$$

Students who does not own chinchilla
=100 - 20 = 80% of 60
$$\frac{80}{100}\cdot60=48\%$$
Answer = option C

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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

by Scott@TargetTestPrep » Mon Sep 23, 2019 4:32 pm

AAPL wrote:Manhattan Prep

40% of all high school students hate roller coasters; the rest love them. 20% of those students who love roller coasters own chinchillas. What percentage of students love roller coasters but do not own a chinchilla?

A. 12%
B. 20%
C. 48%
D. 60%
E. 80%

OA C

We can let the total number of people = 100

Thus, 40 hate roller coasters, and 60 love roller coasters.

Since 20% who love roller coasters have chinchillas, 0.2 x 60 = 12 love roller coasters and have chinchillas.

Thus, 48, or 48%, of the students love roller coasters but do not own a chinchilla.

Answer: C

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