Borderlands: The Pre-Sequel

This mission is unlocked fairly early into the game. You are required to donate 50 normal rarity (white coloured) guns to the troll booth located in Triton Flats. Every 10 guns you are required to do a little mission in regards to the weapons you are donating (retrieving them, checking on members, etc.). Since this is available rather early in the game, just keep collecting normal rarity guns enemies drop and deliver them to the drop box at your leisure. if you want to speed it up you can always buy guns from vending machines, although I'm sure your money can be put to better use. Once you donate 50 guns you get to see where your hard fought donations end up!

*NOTE*: People who are importing their save on the 360 to the One I believe are required to do this mission again, at least that was the case for me. (I completed it in normal mode and have to do it again on True Vault Hunter mode for the achievement). If someone could confirm this or mention if there is another easier way to obtain it that would be great and save some time.

This is an extremely quick way to farm 50 common rarity weapons, and I'd suggest using it for the grinder challenges.

I will say now it requires the use of two controllers though. Use split screen and ensure the second player is a temporary guest account. Usually this would be detrimental, not allowing for any progress with the temporary character to be saved, but this can be taken advantage of.

Drop the two basic weapons the newly created character amid provided with by default then save and reload, rinse and repeat.

Hi guys, not so much of a solution but here is a quick way to get Common Rarity Guns by the dozen fairly quickly :
-Clear some space in your backpack
-Go to Vorago Solitude
-Shoot some Eternal baddies in the face until they start to ascend.
-Get the gun they just dropped (works every time 100% of the time)
-Repeat until your inventory is full!
-Drop those in the intended box
-Go back to step 2!

if you have a friend ask him to gather common rarity weapon after his inventory is full. simply ask him to join your game then ask him to donate the guns. now he has to quit his game . (press guide buttom then start buttom and choose quit ) make sure he doesnt save and quit.. in this case he will have all his guns! keep quiting and joining. you can use this method to duplicate rare legendary items too. be the host and invite your friend with the legendary item. ask him to drop and then go to home and quit ( not saving ) . now u have the gun and he does too!

You will get this quest early on into the game, found on a 'Triton Flats' bounty board and asks you to donate 50 white rarity weapons into a mail slot however the fastest way I could find to get white rarity weapons is to damage a lost legion eternal so they begin to ascend. When this happens they will always drop a white rarity gun on the ground (unless you or another enemy one shots them before they can go into the ascend animation) from their hands. In 'Tycho's Ribs' after the short corridor will be an area in which 3 Lost legion eternals will spawn one by one as you kill them from a hut to the right. (This is the second to last area when completing the story for the game). Each time you donate 10 guns, you will be required to complete a small mission objective such as stealing back weapon crates from the scavs.

The best method to complete the quest is to wait until you've finished the main story, save up moonstones and spend them at crazy earls shop in Concordia (located tucked away behind the Moxxis bar) on upgrading your backpack SDU so you can carry more guns. Then fast travel to 'Tycho's Ribs' pick up the 3 white guns from the lost legion eternals - then exit to the main menu and rinse and repeat until your backpack is full, then travel back to 'Triton Flats' and donate what weapons you can until all the side objectives are complete. Once you have 50 guns donated fast travel back to Concordia and witness the revolution!

Buying guns from shops and searching lockers is extremely ineffective compared to this method and whilst in normal mode the reward is only level 11 the effects on the Oz kit were even better then my level 28 Oz kit.