Manga or manhwa about a guy moving to Korea
It's Very, Very Sweet!

Or, it is if I recall correctly.

I actually had volume one, but lost it -- and I was looking it up [what you put] on google images and BAM- 



the cover!


  The Japanese boy, Tsuyoshi, is a restless troublemaker whose severely strict grandfather has finally been given the reins to crack down on him. His grandfather sends him on a quest to find the roots of their ancestry. The family names' roots brings him to Korea where his taxi driver, a chatty energetic girl named Very (Be-Ri), passes out on him. Despite an ugly first encounter, the two later grow close and learn to respect each other's differences...