It's not about the memory or amount of GB's that matters in the end. Ofcourse it does come into play but it's the type of Graphics you are dealing with is what matters.
Can you be a bit more precise please like the exact model number of the desktop so we can help you better.
My desktop is assembled I have intel i7 processor, Gigabyte mother board H110M S2PH with 8 gb kingstone hyper ram, 120gb samsung ssd and 1tb sata hard disk
with dell 22 inch ips monitor
Yeah please tell us what softwares will you be using.
For general graphics tho, I guess the Intel Graphics might be more than enough compared to what you can have with the constraints in your budget...