In that price range new is out of the question.
Because of the mining craze the video card will eat almost all of your budget.
Sysytem requirements.
OS: Windows 7, 8, 8.1, x64.
CPU: Intel Core i5-2500K or AMD FX-8120 Eight-Core.
CPU Speed: 3.3 GHz (Recommended), 2.6 GHz (Minimum)
RAM: 8 GB.
GPU: Nvidia GeForce GTX 670 or AMD Radeon HD 7970 / R9 280 X.
VRAM: 2 GB.
Look on craigslist, Ebay ,local want ads etc.... Deals do appear, but the go fast so you have to check daily for a while.