It would help if you could give a little more information of exactly what type of construction we are talking about. Also, who built the boat? There can be a big difference between a wooden boat built by a novice vs a professional boatbuilder.
mahogany core sounds to me like it is probably a cold molded boat. If so it may be a finely build boat. Cold molded boats, if built and maintained properly, often can be of a quality to match or even excede that of fiberglass boats. And, they are soooo pretty. Alternatively, "epoxy mahogany core" may refer to a sheathed strip type of construction, a fiberglass over hardwood plywood construction, or any of a hadful of other methods.
Before buying a boat like this, you will need to find out more about its construction (exactly what method, who built it...). You will NEED a good surveyor who is experienced in wooden boats. Also, know that wooden boats require extra maintenence and some specialized skills to maintain. While the reward can be enormous, if you don't have the time or knowledge to maintain one, a fiberglass boat might suit you better.
The main problem with this type of construction is rot. The wood is covered in a epoxy
and fiberglass (or more often dynel) to form a water resistant/ abrasian resistant skin. If this outer skin is compromised, water can get in leading to rot. Depending on the extent of damage, this can be very costly and complicated to repair