[gameman144]

The total amount of money being the same doesn't imply that there would be no inflation. The total demand being the same (for a given supply) would be what you'd need there.

If you give the rich more money, they're not likely to spend it on restaurants and merchandise and services: they can already afford as much of those as they want.

If you give money to people who couldn't afford them without the extra cash, though, you're artificially boosting demand, which would impact inflation.