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