In that case the budget is unfortunately the main issue.
The 930MX is only really suited for very light gaming AFAIK, some benchmarks can be found here: http://www.notebookcheck.net/NVIDIA-....156035.0.html

I think the ASUS is better due to the screen resolution, but the 6GB RAM really put me off on the other hand. Not that it will run games in 1080p, but for work etc. I'd prefer the higher resolution. Perhaps you could upgrade the RAM of the ASUS after a while or buy an additional module with it right away?