Hello,
This is from MGMAT Strategy Guide.
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?
Ans: 48
In my solution, I am getting 48 out of 60 which is 80%. I am not sure if the wordings are confusing me. Can you please assist? Thanks a lot.
Best Regards,
Sri
Double set matrix problem
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Yes, it is 80% of 60, i.e. 80% of the students who love roller coasters.gmattesttaker2 wrote:In my solution, I am getting 48 out of 60 which is 80%. I am not sure if the wordings are confusing me. Can you please assist? Thanks a lot.
But the question asks you to find out the same in terms of total students which is 48%.
Hope that helps.
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Here is a method that someone will find easier than the matrix method.gmattesttaker2 wrote: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?
Let us assume there are 100 students in the school.
Hence, 60 of them love roller coasters.
Now, (100 - 20)% = 80% of these 60 students do not own chinchillas.
80% of 60 = 80*60/100 = 48
Hence, 48% of students love roller coasters but do not own a chinchilla.
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Your solution would be correct if the question asked the following:gmattesttaker2 wrote:Hello,
This is from MGMAT Strategy Guide.
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?
Ans: 48
In my solution, I am getting 48 out of 60 which is 80%. I am not sure if the wordings are confusing me. Can you please assist? Thanks a lot.
Best Regards,
Sri
What percent of THE STUDENTS WHO LOVE ROLLER COLLER COASTERS do not own a chinchilla?
Solution:
(students who love roller coasters but do not own a chinchilla)/(total students who love roller coasters) = 48/60 = 4/5 = 80%.
But the question stem here asks the following:
What percent of THE STUDENTS love roller coasters but do not own a chinchilla?
Solution:
(students who love roller coasters but do not own a chinchilla)/(total students) = 48/100 = 48%.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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