Well hello there...
I can do a smashing PG Tips and a bottle of Asti for half that ... but if you are going for afternoon tea at the Burj it really does have to be the one in the Sky View Bar. That is the tube shaped bit on the back top of the building. It's a little more expensive but at least on a clear day you have the view of the palm jumeirah and on a very clear day the world islands. Sahn Eddar is on the upper level of the atrium just above the jumping fountains and fish tanks.
It's a good afternoon tea and there will be unlimited amounts of pastries, cakes and sandwiches on the Burj Al Arab shaped stand. There is a huge amount of tea from around the world too, more than you could ever try. The champagne is also just one glass at the start, rather than free flowing. It's not the best afternoon tea in Dubai and it's probably the second most expensive that I know of but you do get access to the Burj Al Arab and you get something to eat - rather than just the drinks package. If you haven't been before I will warn you that the interior design of the Sky View Bar is rather odd as it was designed to be a nightclub! I'll link to my video a little later.
I personally think a meal there is better value, especially the culinary flight (a course in every restaurant) is better value though as you get a full meal, to see more of the Burj and a more indepth view of the level of service (some love it and others call it claustrophobic).
If it's just afternoon tea you are after the One&Only Royal Mirage really does have it to. Tea

sorry! It's cheaper, the cakes are out of this world and the location is beautiful (very relaxed and chilled out).
Sorry for the long reply ...