Players will qualify to the next round based on their chip balance - which also determines their rank on the leaderboard. If a player meets the minimum chip balance criteria required to move to the next round he/she would qualify for the same.
Note: This minimum chip balance is usually the 80 point value equivalent of that round.
For example, if you begin the round with 1000 chips & Point value for Round 1 is 10, then the minimum no. of chips to continue playing in the round is: 80x10 = 800.