put down vs ring up

put down and ring up both are verbs.

Word	Noun	Adjective	Verb	Adverb
put down	No	No	Yes	No
ring up	No	No	Yes	No

As verbs, ring up is a hyponym of put down; that is, ring up is a word with a more specific, narrower meaning than put down:

put down (verb)	ring up (verb)
put down in writing; of texts, musical compositions, etc.	to perform and record a sale on a cash register
make a record of; set down in permanent form
put in a horizontal position
remove (cargo, people, etc.) from and leave
cause to sit or seat or be in a settled position or place
put (an animal) to death
reduce in worth or character, usually verbally
cause to come to the ground