This happened on a freshly installed Kubuntu 16.04 LTS 64-bit system.
Ampps Control Center and Apache starts after sudo ./Ampps.
MySQL seems to be started by default but actually it doesn't run (its "Stop" button is active while the "Start" button is faded). I tried to solve the problem (checking logs etc.) but without any success.
(Some Qt related issues I also noticed, which are listed in another post, here: ?tid=8702#p31468. I can't make this a real link, since I am new to this forum.)
Thank you Rishi_P for your reply based on which I could solve this problem.
which mysqld output was /usr/sbin/mysqld if I can remember well. I am not sure because in the meantime I have removed everything MySQL-related from my system and now Ampps is working.
It seems that Kubuntu is shipped with some MySQL-based app that may be in conflict with the MySQL of Ampps.