gymkhana vs sports meeting

gymkhana and sports meeting both are nouns.

Word	Noun	Adjective	Verb	Adverb
gymkhana	Yes	No	No	No
sports meeting	Yes	No	No	No

As nouns, sports meeting is a hypernym of gymkhana; that is, sports meeting is a word with a broader meaning than gymkhana:

gymkhana: a meet at which riders and horses display a range of skills and aptitudes
sports meeting: a meeting at which a number of athletic contests are held

Other hypernyms of gymkhana include meet.

gymkhana (noun)	sports meeting (noun)
a meet at which riders and horses display a range of skills and aptitudes	a meeting at which a number of athletic contests are held