cut-price vs cut-rate

cut-price and cut-rate both are adjectives.

Word	Noun	Adjective	Verb	Adverb
cut-price	No	Yes	No	No
cut-rate	No	Yes	No	No

As adjectives, cut-price and cut-rate are synonyms defined as:

Other synonyms of cut-price include bargain-priced.

cut-price (adjective)	cut-rate (adjective)
costing less than standard price	costing less than standard price