I don't turst people even if they lie or not. So it does not bother me at all. We all are living with lies.

certainly i would trust him/ her again even if she lied on me 'cause i believe in someday she/he will realize they arn't doing well by lying on me ,it doesn't give them any benefit except making them mischievous in their life...that's fully unfair... i want to make her/ him understood that it isn't good to lie on someone even if it takes a long time but i'll never stop myself until she/he realizes it's wrong to lie on someone.

I would always give someone a second chance.

It would depend on whether it was a single lie or part of a larger pattern of lies. Also, what was the reason for the lie? Was the person being malicious and selfish or was he/she just embarrassed about something. The circumstances do matter greatly in such a situation.

It depends, but I would under certain circumstances. In fact I want to trust people and give them second chance (if necessary) BUT there should be strong reasons for beginning trust a man in the important things and if the man betrayed my trust than he(she) should proof that he(she) can be trusted again. Not by words, by deeds. In not critical things I usually prefer to trust people if I don't have strong reasons to not trust them.