Dear Shreya, the DU LLB exam will be conducted on June 18th. The results will bw announced on July 11th and the Counselling  will begin tenratively from July 25th. So ideally you have time until July. And hopefully your results should be declared by then and you should be able to complete your B.Com with an agregate of 50% while clearing your backlogs. Most colleges do complete their exams within that stipulated time.