If I have a variable like 2005, that represents an hour and minute, in this case 08:05pm. How do I subtract 15 minutes from that. If you use expr, you do get something like 1990, which isn't a time. expr works if you are subtracting less than the remaining of the hour, like 2040-15=2025. but that wont work every time.
Using gnu date
:
n='2005'
date -d "$n 15 min ago" '+%H%M'
1950