Hi Rahul,
for every benchmark, like LIBOR, EURIBOR, etc. you have a parameter - validity (from) date.
usually, there is a definition in a contract regarding treatment of banking holidays and weekends, so you should stick to these rules. if I'm not mistaken, a regular rule is that the interest fixing date falls on a week end or a bank holiday, you use reference interest rate valid on the preceding working day.
hope this will help.
Kind regards,
Renatas