Based off of the question, How much should NPCs charge for spells cast as services to PCs?, the cost of spells from NPCs follows the formula:
Spell Service Cost = Square of the spell level, then multiplied by 10, add double of the consumed material cost, add 10% of nonconsumed material cost.
Keep in mind, this formula is not official.
The formula was made by the player base, and while official spells have exact costs in certain modules, and the formula itself has no contradictions with the official costs of all known cost of spells, it is not an officially stated formula from DnD 5e material.
With this formula, a level 5 spell would cost 250gp. Raise Dead, due to the fact that it has a 500gp consumable material, would cost an additional 1000gp.
This is also backed in the same question as the official cost of Raise Dead in Adventure League games, of 1250gp.
However, based off of another question, Should paying an NPC to resurrect a Zealot Barbarian be less costly?, there was no implication that Zealot Barbarians should cost the additional 1000gp due to the fact that they do not require material components to be resurrected.
However, I'm not interested in "shoulds", as it's something you don't want to make an assumption of by the time it becomes relevant. What would it cost for Raise Dead to be cast on a Zealot Barbarian? Even if it is the standard rate of 1250gp, I'm interested to know.