In a survey of 200 college graduates, 30 percent said they

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In a survey of 200 college graduates, 30 percent said they [#permalink]

26 Sep 2010, 11:47

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Re: In a survey of 200 college graduates, 30 percent said they [#permalink]

08 Feb 2012, 05:40

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?

30 percent received student loans --> 200*0.3=60 graduates received loans;
40 percent received scholarships --> 200*0.4=80 graduates received loans;

200={loans}+{scholarships} - {both}+{neither} --> 200=60+80-{both}+{neither} --> {neither}=60+{both}. Question: {neither}=?

As {neither}=60+{both} then we should calculate # of students who received both loans and scholarships.

(1) 25 percent of those surveyed said that they had received scholarships but no loans --> {scholarships} - {both}=80 - {both}=0.25*200=50 --> {both}=80-50=30 --> {neither}=60+{both}=60+30=90. Sufficient.

(2) 50 percent of those surveyed who said that they had received loans also said that they had received scholarships --> 0.5*{loans}={both} --> 0.5*60=30={both} --> {neither}=60+{both}=60+30=90. Sufficient.

Answer: D.
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Re: In a survey of 200 college graduates, 30 percent said they [#permalink]

11 Jan 2013, 04:05

Is it possible to have a table approach for this question, I find it easier to answer these type of questions. Any help will be appreciated. Thanks!

my question is regarding statement 2 the way to comprehend this question is that 50 percent of those who had taken loans? it isn't 50 percent of those who had surveyed right.

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Re: In a survey of 200 college graduates, 30 percent said they [#permalink]

11 Jan 2013, 09:59

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Based on the information given in the question stem we can put below information in the statistics table.

Attachment:

Students.jpg [ 99.12 KiB | Viewed 865 times ]

We need to find "neither" i.e. "students with neither loans nor scholarships" - Marked in RED.
So if DS statement gives any information about the cells in YELLOW will lead you to calculated answer.

Statement(1)
SUFFICIENT: 25% (i.e. 50 students) are with scholarships but no loans. Based on this arrive at the answer "neither" = 90 (check the above image)

Statement(2)
SUFFICIENT: 50% of students with loans -> received scholarship i.e. 50% of 60 = 30 students. Based on this arrive at the answer "neither" = 90.

Hence choice(D) is the answer.
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Re: In a survey of 200 college graduates, 30 percent said they [#permalink]

11 Jan 2013, 10:05

fozzzy wrote:

my question is regarding statement 2 the way to comprehend this question is that 50 percent of those who had taken loans? it isn't 50 percent of those who had surveyed right.
-- "who said that they had received loans" is acting as a modifier for "those surveyed" and thus restricts its scope to students with loans. That means, 50% of students with loans -> also received scholarships.
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Re: In a survey of 200 college graduates, 30 percent said they [#permalink] 11 Jan 2013, 10:05

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In a survey of 200 college graduates, 30 percent said they

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In a survey of 200 college graduates, 30 percent said they

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