The correct option is D (I) is more stable, due to the + M effect of OCH3.
The carbocation I is more stable as the positive charged carbon of ring is directly associated with OCH3. The +ve charge and lone pairs of O are in resonance and OCH3 has an electron releasing effect +M effect which stabilize the charge on ring. But in carbocation II the positive charge is not affected directly by OCH3 but is just in conjugation with π bonds of ring.