8. Determine the answer

The powder company interviewed 1000 people in a city. It was found out that $\frac{1}{2}$ use brand \(A\) powder, $\frac{1}{4}$ use brand \(B\) powder, $\frac{1}{5}$ use brand \(C\) powder, 80 use brand \(A\) and \(B\) powder, 65 use brand \(B\) and \(C\) powder, 70 use brand \(A\) and \(C\) soap and \(30\) use all the three brands. Find the number of people who use exactly two branded powders.

 

(i) Number of people who use exactly two branded powders \(=\) .

 

(ii) Number of people who use only brand \(A =\) .

 

(iii) Number of people who use only brand \(C =\) .