After shipping that CPU is $175. It looks like it doesn't include a heatsink so you'd have to buy one ($15-25) and there's no warranty or ability to return it if it's defective. Newegg has it for $195 right now with free shipping, and the i5 6400 for $180, both of which include a heatsink.
You'll have a hard time finding a used motherboard for new CPUs that's less than $38. Generally they start at around $50, even used, and again you have no warranty, and probably none of the included accessories for the board, and you'll have to pay shipping.
If you insist on buying a board used, I can't name a specific model because it will depend heavily on what you can snag for cheap after auction. You'll have to do a lot of reading to make sure you know what you're buying.
EDIT: 5 or maybe 10 what? Months? DDR3 and DDR4 have different slots, you can't use DDR3 in a motherboard that has DDR4 slots, or vice versa.