icryeverytime

PCPartPicker part list / Price breakdown by merchant
CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor  ($194.99 @ SuperBiiz) 
Motherboard: Gigabyte GA-H110M-A Micro ATX LGA1151 Motherboard  ($53.99 @ SuperBiiz) 
Memory: Crucial 8GB (1 x 8GB) DDR4-2133 Memory  ($26.99 @ SuperBiiz) 
Storage: A-Data Premier SP550 240GB 2.5" Solid State Drive  ($54.99 @ Newegg) 
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive  ($46.89 @ OutletPC) 
Video Card: PowerColor Radeon R9 380 4GB PCS+ Video Card  ($159.99 @ Newegg) 
Case: Xion XON-560 MicroATX Mini Tower Case  ($28.98 @ Newegg) 
Power Supply: XFX TS 550W 80+ Bronze Certified ATX Power Supply  ($43.98 @ Newegg) 
Total: $610.80
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-05-26 15:46 EDT-0400
 
380 > 960 and a case that wont make the motherboard look small.

for the GPU id say get an r9 380 or if you can wait untill polaris comes out because of HBM and that they are aiming to get r9 390 proformance in the price range of a r9 380 

I'll make changes as commentary.
 
240GB in your SSD won't be enough. A 1TB HDD will serve you well and you can throw in an SSD later.
Some games really like RAM bandwidth. Switching to 2 sticks and a mobo that takes 4 DIMMs.
We're looking at new GPUs in two to four weeks, but if you must build now, the R9 380X is the best value.
 
PCPartPicker part list / Price breakdown by merchant
CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor  ($194.99 @ SuperBiiz)
Motherboard: Gigabyte GA-B150M-D3H Micro ATX LGA1151 Motherboard  ($57.98 @ Newegg)
Memory: G.Skill NT Series 8GB (2 x 4GB) DDR4-2400 Memory  ($31.98 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive  ($49.99 @ Amazon)
Video Card: PowerColor Radeon R9 380X 4GB PCS+ Myst. Edition Video Card  ($179.99 @ Newegg)
Case: NZXT S340 (White) ATX Mid Tower Case  ($63.99 @ SuperBiiz)
Power Supply: Corsair RMx 550W 80+ Gold Certified Fully-Modular ATX Power Supply  ($61.00 @ Newegg)
Total: $639.92
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-05-26 16:10 EDT-0400

Dell XPS 13 - More portable and better style
Asus Zenbook UX305 - Has the most gaming capability
 
Both of these are under 1200$ and will run DOTA 2 easily at high settings.
 
I hope i helped you. If i did please give me a thumbs-up
 

Yes, a signature thing in the current gen of XPS machines. Dell calls it the InfinityEdge.

The pricing in UK is very expensive compared to UAE and Pakistan. I know this since I had lived there a few years ago and even a celeron laptop from a good brand is around 250 - 300 £ which is a lot.
 

If you can get the XPS 15 do it, if not dell XPS 13, ThinkPad T450s(used), ThinkPad x250(used), ThinkPad x260. They all have enough power to run dota and the thinkpads will give you better build, better cooling, longer battery life and better keyboard. The XPS 13 will look nicer and be a little smaller, the XPS 15 will be the most powerful of them all since it has a quadcore and a gtx 960m