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.
most number of graduate cohort refers to MAX(SUM(grad_cohort)); in 2012 refers to year = 2012; private institute for profit refers to control = 'Private for-profit'; institutes refers to chronname;
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