A method of operating a display apparatus includes: transmitting stereo data corresponding to first audio data included in content being reproduced, to an external audio apparatus using a first audio transmission profile; changing an audio transmission profile from the first audio transmission profile to a second audio transmission profile, based on an audio-related event occurring while the stereo data is transmitted using the first audio transmission profile; and obtaining first mono audio data by selecting any one of a plurality of pieces of sound data included in the stereo data, and transmitting the first mono audio data and second mono audio data generated based on second audio data corresponding to the audio-related event, to the external audio apparatus using the second audio transmission profile.