Sets Question
\(B =\) Basic, \(D =\) Deluxe
Consider, Total Rooms \(= 100 = B + D\)
Rented Out \(= 75\)

Statement 1: 60% rooms are basic
\(\Rightarrow\) 40 rooms rented out, and 20 not rented out.
Sufficient \(\Rightarrow\,\, AD\)

Statement 2: 12.5% of deluxe rooms not rented out.
\(\Rightarrow\,\, \frac{1}{8}\) not rented out, and \(\frac{7}{8}\) rented out
\(\frac{2}{3}B + \frac{7}{8} D = 75\)
From the Question, \(B + D = 100\)

We can solve for \(B\,\, \Rightarrow\,\,\) Sufficient.

Therefore, __D__ is the correct answer.