BoTRK rework
EDIT: After looking back at the original proposal, I acknowledged that I was still thinking at BoTRK damage as if it was a first rush-item on some champs and I was still calculating the damage comapring to actual BoTRK. After rethinking about it, and rethinking about GW strength, I felt like the original proposal was too punishing vs squishies both on passive and active(exploitable by some snowballing assassin) and it didn't hit tank uber health scaling. Now I hope to have fixed both the problems with the adjusted numbers
Since 4.10 patch, the meta has shifted toward the dominion of marksmen and assassins Most of the assassins have been hit/will be hit , marksmen are not being touched
While Riot would need to seriously rethink/rebalance the whole AD/armor/health related itemization, one of the most urgent problems to face is the Blade of the ruined King, that discourage so much building health that has put health tanks completely out of the meta BoTRK in the actual iteration has gone beyond its original purpose, being the anti-tank item, has becomed too good that it does scare any champ that has to build some kind of health someway
So it need to be reworked
Blade of the Ruined King 
Bilgewater Cutlass
(1400g) + Cloak of Agility
(730g) + Long Sword
(360g) + 770g + 610g = 2900 gold 3100gold
25 35 AD
10% LS
20% critical chance
Passive Unique: Your attacks deal 4% 2% (+0,45% per 1000 HP) of the target's max health in physical damage (60 max vs minions and monsters).
Passive Unique: Your basic attacks inflict Grievous Wounds on enemy champion for 1.5 seconds
Active: On your next basic attack, deal additonal 6% 7,5% target max health (+ 25% AD ** +25% bonus AD**) in physical damage (min. 100) and healing you for the damage dealt. Additionally you steal 35% of their movement speed for 3 seconds - 90 seconds cooldown