Depends from what is the issue. If it's just because the laptop has crappy heat management systems that allowed components in some spots to melt the solder and break free from the board (or at least interrupting contacts with it) then it's doable.
This is relatively common issue for graphic chips in a laptop, so it does make some sense.
Fixing them is called reflowing, and can be done relatively easily if they guy has a
hot air reworking station, or a reflow oven. And is a technician, or is otherwise able to solder
smd components like a pro.
Some ninjas manage to pull this off with a common heat gun and a ton of luck.
The price for reflowing in (honest) laptop repair shops is around that. The cost of replacement depends (he needs to fetch a new motherboard and replace the whole thing). Make sure the 100-115 bucks are the max he wants, and not just the cost of reflowing alone.
Also knowing this guy before handing him the laptop is a good idea. If you see madness glittering in his eyes, a heat gun in the background and you meet in his garage, RUN!
Other than that, it's down to how much you want to save the current laptop, or how much you don't have the cash to get a new one.
Btw, if this guy saves your laptop, invest 30$ in a good laptop cooling pad with a very big fan (the bigger it is the more silent it is), to help the anemic heat management system of that laptop to handle the heat.