Rental....so you do not live there?
Ahhh
You damp problems may be being cause by the living habits of your tenants.
Your tenants are very likely to be drying clothes on radiators. This is probably the primary cause for your problems. Either point them in the direction of a launderette, or buy a decent vented tumble dryer. If you are a nice landlord

, maybe the latter (after all it should benifit your property/investment) but you must ensure they use it.
In addition, fans that activate with light switches are not the best. It is always best to go for extractor fans with humidistats. These stay on until enough moisture in the air has been extracted.
Unless the fans have a good light overrun (stay on for a while after the light has been turned off), the chances are, the fan doesn't go on during daytime showers, and may go off quickly when someone has finished in there.
An average household can produce 15 litres of water vapour. If you have upvc windows and not enough ventilation much of this water vapour can end up on cold surfaces (exterior walls) as condensation as it is trapped in the house.
I wrote a rather long winded explanation about condensation and why older but updated properties (upvc, insulation) can become more prone to it. It may be helpful:
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http://www.diynot.com/forums/windows-doors/tripple-glazing-v-double-glazing.400769/
Also read this:
http://www.bolton.gov.uk/sites/DocumentCentre/Documents/Condensation and Mould.pdf
In fact maybe print it off and give it to them....