I had exactly this problem with my HP F4180 printer last year. I replaced both the Black and the Tri-color cartridges with new ones from a local supermarket. This did not solve the problem so I bought more new ones from an online supplier (I forget which one). This immediately solved the problem. So two answers here: Replace the cartridges and Don't buy from a shop where you've no idea how long the things have bee in stock.
It is also worth doing a careful alignment / set up / test page with the new cartridges.