Used to introduce a contrasting idea.

जबकि

English Usage: Although it was raining, we went for a walk.

Hindi Usage: जबकि बारिश हो रही थी, हम टहलने गए।

Used as a less formal version of "although" in writing or speech.

हालांकि

English Usage: It was cold outside, altho I still went for a jog.

Hindi Usage: बाहर ठंड थी, हालांकि मैं फिर भी दौड़ने गया।