My recent trip to India exposed me to many sentences using "would" as a polite substitute for "will", as in
Please make sure to leave on time. The last bus would depart at 8PM.
Thanks for checking out early. However, there would be no refund.
I am not familiar with such patterns in AmE or BE. Are they common in particular settings that I'm not aware of? How common are they in India?
Note: the following query seems to return a bunch of other examples (among conditional uses of course)