In this post your topic is discussed: How to track links clicked on landing page?
Sanford Whiteman explains how:
"Clicked Link on Web Page activities are logged (by the Munchkin analytics module) for these links. You'll see, and can trigger on, these activities in any lead's Activity Log.
A pseudo-exception is that Filled Out Form activities, which are a form of "clicked link," can be viewed across leads. But of course those are for known leads by definition."
Create a smart list with the filter "Clicked Link on Web Page" and select the constraint "Web Page" and select the landing page in question. Then select one of the links in the "Link Name". The resulting smart list of people will include those that clicked a specific link on the landing page. You can then take a tally and switch out the link if interested in another one.