Hi,
If I got it correctly, you have a router that routes internet traffic to two different subnets. Subnet 10.0.0.0/24 can access the web without any particular problem, so does subnet 192.168.0.0/24. The problem occurs on the other side of the router. Which subnet is that?
You said there's some sort of problem with the webpage format? Could you please be more specific? What seems to be the problem?
Best regards,
Giorgos