Why do we say "wearing perfumes?"
Solution 1:
My take (was a comment since I could not find sources):
Since perfume engulfs you, it is worn like a cloak. So you apply some perfume to your wrist or elsewhere on your body, and from then on you wear it.
Solution 2:
The earliest citations of wearing perfume refer to perfume boxes and nosegays--accessories that were physically worn around the neck. I can't find any history of perfume reference that confirms this, but it seems plausible that the use of wearing perfume has its origins here.