£1000~ the Build Itself, Without counting the Monitors, Keyboard/Mouse/Headset/Drawing Tablet.
Edit: Several upgrades had since its initial creation. The end result is pretty satisfying. It is used mostly for Art/Digital Media and Gaming so the Ryzen 1600 + Vega 56 have more then enough power to handle that, the XP-PEN Artist Pro 16 (15.6 Inch Drawing Tablet) works flawlessly with it as well for anyone that is wondering and wants to do art they are a valid alternative to Wacom (previous tablets owned were Wacom).
I made this build for her back in May 2017 as I made my own build in April and I absolutely loved the performance of the Ryzen CPU and so did my fiancee, so we just had to make her a build with one too.
CPU: Ryzen 5 1600, Was a great boost compared to her X4 880k from her previous build, Cheap, 6 Cores, 12 Threads, Same as my personal rig.
Motherboard and Ram: At the time There was a limited stock on Motherboards so I tried the Asus Prime B350M, and surprise surprise it is pretty solid, No issues what so ever even when testing several Ram Kits.
Ended up staying with a Patriot Viper 16 GB Kit (2x 8GB) clocked @3200.
Storage: Drevo X1 120 GB, She doesn't need much SSD Storage, She needs more Mass Storage as she is a Artist and has massive files from Photoshop/Art and Video related things, So she has 1.5TB worth of WD HDD and will use a External Hard Drive to place old projects on from time to time, Also added a seperate m.2 SSD to be used for the OS only and a few programs, that way giving the system flawless speed as the second SSD is used as a scratch disk for art.
Video Card: RX 460 2GB -> GTX 1060 3GB -> RX 480 4GB - > RX 580 8GB - > RX Vega 56 8GB
The RX 460 was from her previous build, traded it plus a bit of cash for a 1060, then 3 months later I bought a Fury for my main build so I gave her the RX 480 4GB, later down the line I got a RX 580 8GB so Gave it to her and gifted the previous card to my brother, fast forward a few more months and a good deal on a Vega 56 (With Resident Evil and 2 other games) popped up, and she wanted a upgrade so why not :) Gave the 580 to my other brother. Needless to say all cards worked well, except for the GTX 1060, It had sudden spikes where it lost the frames for a split second, was pretty happy to get rid of it, heard from others that it's a common issue with the 3GB model even if you set all the performance related options and tweaks.
Case: NZXT Source 210, From Previous Build, has good Air Circulation as O added more intake fans, No need to swap it as she doesn't want a side panel yet, plus we would have to reorganise our desks for that again which would be a hassle.
PSU: Decent, its a 600w PSU so it will do the job, as I undervolt the VEGA card and the Ryzen is also very efficient it handles the system with ease.
Extras: She had her Freesync Monitor from previous build, a spare monitor laying around as a second one, a Hyper X Headset, a solid mouse and keyboard and a Wacom Tablet for her art as she is a digital artist.
A very cheap 6 Core 12 Thread processor, well priced at release, amazingly cheap nowadays, if you are on a budget and find this CPU for a good price then go for it, I would recommend the 2600 or the 3600 when released for bigger clock speeds but if you do not care much about that then the R5 1600 has plenty of power for every day needs.
Been buying Drevo SSD's for a while now, they are not as fast as Samsung SSD's for example but it's read speed is pretty good and can match most SSD's on the market while being cheaper.
Gets the job done, for a 600W Bronze Certified ATX PSU it is as good as it gets.
Freesync, can't go back on that.
Best Budget Gaming Headset, can't even think of another similar priced one that has its quality.