Andhra speedsters KS Sahabuddin and Kalyankrishna ripped through the Haryana tail as the visitors ended up at 206.
Prasad played with a good blend of caution and aggression after he lost his opening partner BBK Singh for a naught and went on to gather 79 runs in a space of 223 balls and picked five fours.
After Kumara Swamy was dismissed for 30, Prasad was joined by skipper Y Venugopala Rao and the duo added 115 for the third wicket before Sachin Rana dismissed Prasad through Mahesh Rawat for 79.
Venugopla Rao did not last long as he went down quickly after Prasad's departure for a well made 70 with nine hits to the fence with Joginder Sharma claiming his wicket through Mahesh Rawat.
A T Rayudu (4), who was fined 50 per cent match fee for a scuffle in the match against Hyderabad, and Gnaneswara Rao(1) were at crease when stumps were drawn.
Earlier in the day Sahabuddin took two Haryana wickets to take his tally to four while Kalyan Krishna, debutant Isreal Raju and Gnaneswara Rao claimed two wickets each as Haryana ended up at 206.