## Percentage

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### Percentage

by deepakb » Wed Oct 06, 2010 11:48 pm
In a survey of 200 college graduates, 30 percent said they had received student loans
during their college careers, and 40 percent said they had received scholarships. What percent of those surveyed said that they had received neither student loans nor
scholarships during their college careers?

(1) 25 percent of those surveyed said that they had received scholarships but no loans.

(2) 50 percent of those surveyed who said that they had received loans also said that
they had received scholarships.

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by shovan85 » Thu Oct 07, 2010 12:29 am
IMO D

L = 30% of 200 = 60
S = 40% of 200 = 80

1. 25% of 200 = 50 had S but no L
So the number of students have both = 80 - 50 = 30
Students who neither have Scholarship nor Loan = 200 - (60+80 - 30) = 90 Suff

2. 50% of L said they dont have S = 50% of 60 = 30
Number of students have only Loans = 30
So the number of students have both = 60 - 30 = 30
Again it will be Sufficient.

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by deepak123gmat » Thu Oct 07, 2010 12:53 am
Thanks.
I also helped to clear my basic concepts

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by blaster » Thu Oct 07, 2010 2:13 am
can someone write down the formula for Venn diagram type questions?

A+B+ both-neither?

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by shovan85 » Thu Oct 07, 2010 2:21 am
blaster wrote:can someone write down the formula for Venn diagram type questions?

A+B+ both-neither?
For two sets Total = A + B - (A intersect B)

A, B and C are 3 sets intersecting each other. Then

Total number = A + B + C - (A intersection B) - (B intersection C) - (C intersection A) + 2 (A intersect B intersect C)

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by Yanat » Thu Oct 07, 2010 6:34 am
I feel the answer is D.

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