From Korean Wiki Project
Verb + (으)ㄹ까 하다 : This pattern is equivalent to thinking of doing ~, thinking about doing ~ or thinking (I) might ~. This grammar is used when thinking about or considering doing some action in the future.
|Rule 1:||Verb + ㄹ까 하다||If there is no 받침 or if the adj/verb stem ends with a ㄹ 받침|
|Rule 2:||Verb + 을까 하다||If there is a 받침 at the end of the adj/verb stem|
| "그래서.. 진로는 정했어?"
"졸업후에 아버지 가업을 이어 볼까해.."
- Related topic or grammar