There may be a sump inside of the aft cabin bulkhead, and should be a sump all of the way aft. Bilge pumps have been placed in both places (and a few others) by the factory. Many boat owners have bilge pumps in both locations.
Only newer boats, I believe 2007 on, have a fully glass in, or "sealed" floor of the cockpit. For example my 2006 boat has the removable two floor boards of fiberglass which can be removed.
If you describe the "bilge" as being inside the cabin, I assume that you have a pump intake there. There should be a slot or hole from the cockpit floor.
There also should be some fiberglass molding on the floor inside the cabin, with a step over it--where the pump intake is located. That may have a leak thru its tabbing to the floor in the cabin. There could be leaks under the aft bulkhead, there could be leaks thru the hull to deck joint in the cabin, or there could be some area up on the cabin which is leaking (for example I have a small leak around one window under certain circumstances, and also around a hand rail, which have been repaired.