I have two girl friends. One is P whom I like and have a close bonding. But she likes someone else. Second is R, who likes me but I have lose bonding with her. P hates R and my any relation ship with R. what should I do to maintain both relationships with peace and harmony??

You cannot expect peace and harmony while trying to ride two horses at a time. P shows possession for you and has liking for someone else, this is not done. If you have to commit, commit to someone who loves you and not to one whom you love.