SD, always ready to spring to the assistance of a fellow in need, I offer you a revised counting system, which I've called Counting Method 2, and which moves the counting workload from a sequential page-by-page process to an event-driven process, i.e. when the ink runs out. As a bonus, on the offchance you get more than 10 pages out of a cartridge, it prevents you from needing to take your shoes and socks off to cope with the large numbers involved. Without more ado, I present Counting Method 2:
Don't count anything, but keep the empty paper wrappers. When the ink runs out, count the empty wrappers, multiply by their nominal contents when full (let's call that partial result "F"), count the number of sheets remaining in the not-yet-empty pack, subtract that number from the nominal contents of the not-yet-empty pack (let's call that partial result "O"), and finally sum the partial results, arriving at the final result, which we'll call "Too".
Voila.