Hello Aspirant ,  when you would go for counseling process , they might ask you to show your 10th certificate. Class 10th certificate is mainly used to check your Birth Date. You can show the marks memo which you have with yourself . In case they ask fir orignal mark sheet , tell them that you would provide the orignal document after 10 to 14 days .  Meanwhile apply for hour tenth marksheet . From whichever board you jave studied tell them about ykur problem and most probably they would issue you another sheet. It might take some time.

Hope it helps. For any further query feel free to ask us..