To answer some questions that were asked:
The tenant reported that the cord came out to the landlord as soon as it happened. However, the two do not have a "normal" tenant/landlord relationship. The tenant and landlord are friends, and share a two-bedroom apartment. One owns the condo, and so acts as landlord to the other. Because the landlord is not a property manager, she does not have a handyman on staff who can fix simple things like this - when something happens, she has to hire someone specifically to come in. The incident occurred and was reported about six months ago, and because summer is approaching, this is the first time the landlord has addressed fixing the fan. Now the two are in dispute about who's responsibility it is to pay for the repair. The tenant argues that because she pulled out the cord during the course of normal use, it would be considered "wear and tear", and the landlord should pay to have it repaired. The landlord argues that pulling out the chain constitutes "damage", and the tenant should pay for the repair. They are both committed to resolving the issue amicably, which is why they're seeking outside opinions on the matter.
There is no way to know how old the fan is without contacting the previous condo owner, which the landlord is not willing to do.