I Called Apple and they walked me through the process of getting Aperture to work on OSX 10.10.3:
Find Aperture in your Applications folder then
Drag it to Trash and empty Trash (your Aperture library is not affected by this).
Restart your computer
Log on to App Store, and find your Purchases
locate The Aperture application.
It should show Install, and not Upgrade at this point.
click on that to download Aperture 3.6
instal that in your Applications folder.
Of course, this only works if you purchased Aperture from Apple, and registered it with them.
This is worked for me and I now have Aperture 3.6 running on Yosemite. The drawback here is that there is no further support will be offered for Aperture, so another alternative will eventually be required. I took advantage of an offer from Adobe, and downloaded Lightroom CC and Bridge CC (Creative Cloud). I already had Photoshop CC, but they bundled it all together for me at a very reasonable price. All these applications will use your Aperture and iPhoto libraries should you wish to import them into the application, so there will be no duplication of Libraries. Hope this helps you like it did me.