I assume the joke here is that selling perfume to a guy without a nose is the metaphorical equivalent of selling refrigerators to Eskimos.
(Even though Eskimos do use refrigerators. And we’re not suppose to call them Eskimos anymore. But a metaphor’s a metaphor)
Comics I Don't Understand 
She really had to work hard to make the sale: but a man’s reach should exceed his grasp, or what’s a metaphor?
Selling water to a fish is always an option. But is the perfume equivalent really selling it to a noseless thing or to an odourless thing?
She paid attention in science class and learned that snakes smell with their tongues because they have no noses. This allowed her to close a sale no one else in the store would have even attempted.
You only have to avoid using you-know-who’s name if you don’t want him to know where you are.
If he doesn’t have a nose, why does he have nostrils?
To breathe, I assume, Lord Flatulence.
1) You don’t buy perfume to smell nice to yourself. You buy it to smell nice to others. So a noseless guy needs perfume as much as anyone else. The person who *doesn’t* need perfume is the noseless guys girlfriend.
1a) Are we supposed to assume that because Lord Voldemort is male and its a “perfume” counter he *is* buying it for his girlfriend?
2) He may not have a nose but he has nostrils. So just because he doesn’t have a nose doesn’t mean he can’t smell.
Epsilon-prime) I always wondered why the punchline to the old joke shouldn’t have been:
— My dog doesn’t have a nose.
– Really? How does he smell?
— He *DOESN’T*! He has no nose! It’s real problem, you insensitive oaf!
At first glance, I laffed. Then, I started to think about it and realized it made no sense whatsoever.
There are many different brands of perfume in his arms. (And the store couldn’t even give him a bag to put them in? ) This suggests that perhaps he is setting up some kind of experiment or test.
“Eskimo” is offensive in Canada, where most Eskimos are Inuit, but fine in Alaska, where an Eskimo is jus as likely to be Yupik.
There were a couple of good “no nose” jokes in Pixar’s “Coco”. The best one is located at 4:19 in this set of trailers.
P.S. Also worth watching is “Dante’s Lunch”, which starts at 6:37 in that set.
P.P.S. Another appropriate “marketing” metaphor is “selling shoes to a snake“.