In country Z, 10% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 20% of the people have the job of their choice, what percent of the people have a university diploma? Choose one.
A) 30%
B) 45%
C) 55%
D) 65%
E) 75%
Setting up a matrix is how I solve this one.   Diploma No Diploma Totals   Job of Choice w/Diploma   Job of Choice w/o Diploma = 10%   Job of Choice Total = 20%   Not Job of Choice with Diploma =.25X   Not Job of Choice w/o Diploma= .75X   Total Not Job of Choice = X   Total with Diploma   Total without Diploma   Total citizen = 100   If 20% of people have their job of choice, then 80% of people do NOT have their job of choice. 25% of 80% = 20%. We can also see that 10% of the people have their job of choice and a diploma (20%-10%=10%). 10% + 20% = 30%. Therefore 30% of the people in Country Z have a diploma.   30%ns 30%
<result>A</result>
In country Z, 10% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 20% of the people have the job of their choice, what percent of the people have a university diploma?