Which Debts Should You Repay First? You should always try to repay the most expensive of your debts first. This make logical sense really if you think about it but credit card companies often do the opposite; repaying the most expensive of your debts first...For example, if a credit card company launches a new credit card - we'll call it 'credit card A'.You successfully apply for 'credit card A' as opposed to 'credit...... Similar Editorial : by Angelo Drew. | Source : Debt Consolidation Loan