  In this paper, we prove a dichotomy theorem for remainders in
compactifications of paratopological groups: every remainder of a
paratopological group $G$ is either Lindel\"{o}f and meager or Baire. Moreover,
we give a negative answer for a question posed by D. Basile and A. Bella in
\cite{B1}, and some questions about remainders of paratopological groups are
posed in the paper.
