Wrong question ! - wrong answer !
India is a subcontinent. Would visiting SFO
represent the flavor of US ? or visting NYC ?
or CHI ? .....
If you have few days (< week), then pick the
city that your RTW allows ya to land in, and
do the touristy thing -- All of us ex-pats

be ****ed. Honestly !
Last month while visiting BOM, I had in seat
next to me someone who was gonna do 5 cities
in a week (Bombay,Delhi,Agra,Calcutta,Madras,Bangalore)
and fly back from Bombay to FRA-JFK. Polite as always I am :-) I asked him who planned his sched. -- Guess what, his boss's sec. :-)
Moral of the story - Pick a few guidebooks,
get a feel of what you really want and do a
reality check here (Each one of us here are
biased towards something or the other.)
I spent eight months travelling in India, and
barely scratched the surface (that was ~25 years ago). Too little time -too many places to go.