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by vaibhav101 » Wed Aug 01, 2018 10:28 am

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10% of the people do not have a university diploma but have a job of their choice, and 25% people who do not have a job of their choice have university diploma .if 40% people have a job of their choice , what percent of the people have a university diploma ?

A 35
B 45
C 55
D 65
E 75
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by GMATGuruNY » Wed Aug 01, 2018 12:05 pm
vaibhav101 wrote:10% of the people do not have a university diploma but have a job of their choice, and 25% people who do not have a job of their choice have university diploma .if 40% people have a job of their choice , what percent of the people have a university diploma ?

A 35
B 45
C 55
D 65
E 75
To organize the data, use a DOUBLE-MATRIX.

10% of the people do not have a university diploma but have a job of their choice.
The following matrix is yielded:
Image

40% people have a job of their choice.
The following matrix is yielded:
Image

25% people who do not have a job of their choice have university diploma.
The following matrix is yielded:
Image

What percent of the people have a university diploma?
In the resulting matrix, total diploma = 45%.

The correct answer is.B
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by Scott@TargetTestPrep » Fri Aug 10, 2018 5:33 pm
vaibhav101 wrote:10% of the people do not have a university diploma but have a job of their choice, and 25% people who do not have a job of their choice have university diploma .if 40% people have a job of their choice , what percent of the people have a university diploma ?

A 35
B 45
C 55
D 65
E 75
Let us let the total number of people be 100.

Since 10% of the people do not have a university diploma but have a job of their choice, 10 people do not have a university diploma but have a job of their choice.

Since 40% of the people, or 40 people, have a job of their choice, 60 people do not have a job of their choice. So we know that 0.25(60) = 15 people who do not have a job of their choice have a university diploma and thus 45 people who do not have a job of their choice do not have a university diploma.

Since 10 people do not have a university diploma but have a job of their choice and 45 people who do not have a job of their choice do not have a university diploma, it must mean 10 + 45 = 55 people do not have a university diploma. So 45 people, or 45/100 = 45% of the people do have a university diploma.

Answer: B

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