Last year $$\frac{4}{5}$$ of the applicants for a job on a police  force passed the physical examination. If $$\frac{3}{4}$$ of the applicants who passed the physical examination also passed the written examination, how the applicants passed both examinations? 
I. The number of applicants who did not either examination was equal to the number who passed the physical examination only. 
II. There were a total of 100 applicants.

I. The number of applicants who did not either examination was equal to the number who passed the physical examination only. 
II. There were a total of 100 applicants.

Let total applicants that apply  = x

passed physical exam = 4/5 x

Written exam pass = 3/4 * 4/5 x = 3/5 x

The applicants passed both examinations is 3/5 x .

We need only x i.e. total number of applicants.

From Statement 2, we can get that, so alone Statement 2 is sufficient.