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Bunuel
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40% of all high school students hate roller coasters; the rest love th Wed Jul 01, 2015 1:18 am
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C
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87% (01:19) correct 13% (01:38) wrong based on 386 sessions

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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%

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C
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40% of all high school students hate roller coasters; the rest love th Wed Jul 01, 2015 2:10 am
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Bunuel
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%

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Make a Table as mentioned below

---------------------------------------------Love Roller Coasters---------------------Hate Roller Coasters----------------Total
Own chinchillas--------------------------20% of 60%=12% --------------------
Don't own chinchillas------------------- 60%-12% = 48%----------------------
Total---------------------------------------------- 60% -------------------------------------40%-----------------------------

Answer: Option C
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40% of all high school students hate roller coasters; the rest love th Wed Jul 01, 2015 2:15 am
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Bunuel
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%

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Hi,
20% of those students who love roller coasters own chinchillas, so remaining 80% of those students who love roller coasters dont own chinchillas...
so ans 80% of 60 =48 % ans C
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40% of all high school students hate roller coasters; the rest love th Wed Jul 01, 2015 2:37 am
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60% of students love roller coasters, and 80% of them do not own chinchillas, so the number of students that love roller coasters and do not own chinchillas is 48%.

The correct answer is C
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40% of all high school students hate roller coasters; the rest love th Wed Jul 01, 2015 4:48 am
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60% X 80% = (60*80)/(100*100) = 48%.
Ans C.
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40% of all high school students hate roller coasters; the rest love th Wed Jul 01, 2015 5:14 am
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Just use an overlapping set matrix will easily guide you to the correct solution which is 48%.
Attachments

File comment: Overlapping Set
IMG_5248.JPG
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40% of all high school students hate roller coasters; the rest love th Mon Jul 06, 2015 1:38 am
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Bunuel
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%

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MANHATTAN GMAT OFFICIAL SOLUTION:


Since all the numbers in this problem are given in percentages, assign a grand total of 100 students. You know that 40% of all high school students hate roller coasters, so fill in 40 for this total and 60 for the number of students who love roller coasters. You also know that 20% of those students who love roller coasters own chinchillas. It does not say that 20% of all students own chinchillas. Since 60% of students love roller coasters, 20% of 60% own chinchillas. Therefore, fill in 12 for the students who both love roller coasters and own chinchillas. The other 48 roller coaster lovers do not own chinchillas.

Answer: C.

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40% of all high school students hate roller coasters; the rest love th Mon Sep 23, 2019 8:46 am
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Bunuel
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%

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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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40% of all high school students hate roller coasters; the rest love th Sun Mar 03, 2024 1:05 am
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