price vs mark up

price is a noun but mark up is not a noun.

Word	Noun	Adjective	Verb	Adverb
price	Yes	No	Yes	No
mark up	No	No	Yes	No

As verbs, mark up is a hyponym of price; that is, mark up is a word with a more specific, narrower meaning than price:

Other hyponyms of price include manipulate, rig, overprice, underquote.

price (noun)	mark up (noun)
the property of having material worth (often indicated by the amount of money something would bring if sold)
the high value or worth of something
value measured by what must be given or done or undergone to obtain something
a monetary reward for helping to catch a criminal
the amount of money needed to purchase something
cost of bribing someone

price (verb)	mark up (verb)
ascertain or learn the price of	increase the price of
determine the price of