Write SQL query to solve given problem: Name the state with the most number of graduate cohort in 2012 from private institute for profit? List all such institutes in the mentioned state.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT T1.state, T1.chronname FROM institution_details AS T1 INNER JOIN state_sector_grads AS T2 ON T1.state = T2.state WHERE T2.year = 2012 AND T1.control = 'Private for-profit' GROUP BY T2.grad_cohort ORDER BY COUNT(T2.grad_cohort) DESC LIMIT 1