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A Bane weapon vs Enemy X grants +2/+2 th/dmg, +2d6 damage.
That's effectively a +4 enhancement.
I thought you were talking about a magical ability, not a material ability.
'Demons' is a subset of 'evil outsider'. Any ability specifically targeting demons should cost half as much as a Bane ability that targets a broader group.
So, Bane: Demons should cost half a +1 ability (bane's cost)...if your DM allows 'half +1' effects.
+1, +2 against demons grants 1/4 the bonuses a Bane does. So, with half pricing because it's Demons and not Evil outsiders, that would be 1/8 the price.
So a sword +1, +2 against Demons would be 3,000 gp (2k + 1/8th the cost of a Bane being added of 8k).
As I noted above, splitting TH and DMG bonuses is a bad idea in general. +1 TH generally = +2 dmg (because of Power Attack). But, if you really want to, a Sword +1, +3 dmg against demons would be half the price of a +1 enhancement, half the price of a Bane's group, and 1/4 the normal Bane enhancement, for 1/16 normal price increase.
You'd end up spot on at +500 gp cost for a sword +1, +3 dmg vs demons, or 2500 gp total.
Be very wary of stacking these minor effects!