India A put on a dominant performance as they raced to 91 for one after Bangladesh declared their innings at 224 for eight on the first day of their two-day warm-up match in Hyderabad on Sunday.
While Mushfiqur made 58 off 106 balls, Sarkar struck 52 off 73 at the Gymkhana Ground.
At stumps, Priyank Panchal (40) and Shreyas Iyer (29) were at the crease for India A. India A trailed by 133 runs with nine wickets remaining.
Sabbir Rahman (33), Liton Das and Mahmudullah (both 23) pitched in with useful contributions for the visiting side.
India A's left-arm medium pacer Aniket Choudhary put up an impressive show, picking up 4/26 in 12 overs.
Choudhary missed a hat-trick in the 61st over after dismissing Mushfiqur and Mehdi Hasan. Bangladesh suffered a setback in the fifth over with local lad CV Milind picking up the wicket of opener Imrul Kayes.
After the departure of openers Tamim Iqbal and Kayes, Sarkar and Mushfiqur steadied the ship.
Besides Choudhary, CV Milind, Vijay Shankar, Shahbaz Nadeem and Kuldeep Yadav claimed one wicket each for the home team.
The visitors declared their innings in the 67th over though they had two wickets in hand.
India A opener Panchal scored 40 in 62 balls, with the help of six boundaries.
India A skipper Abhinav Mukund was dismissed by Subhashis Roy after making 16.
The one-off Test between Bangladesh and India is scheduled to be held in Hyderabad from February 9.
Image: Bangladesh's Mushfiqur Rahim en route his 58 against India 'A' in Hyderabad on Sunday
Photograph: Bangladesh Cricket Board/Twitter