In country Z, 12% 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 40% of the people have the job of their choice, what percent of the people have a university diploma?
Choose the correct answer
A) 35%	B) 43%	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 = 12%   Job of Choice Total = 40%   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 40% of people have their job of choice, then 60% of people do NOT have their job of choice. 25% of 60% = 15%. We can also see that 28% of the people have their job of choice and a diploma (40%-12%=28%). 28% + 15% = 43%. Therefore 43% of the people in Country Z have a diploma.   Ans 43%
<result>B</result>
In country Z, 12% 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 40% of the people have the job of their choice, what percent of the people have a university diploma?