Chakraborty, who bowled some of the toughest overs of the innings and still finished with 1-20, won player of the match for his four-over spell.
West Indies all-rounder Andre Russell, Arora and India’s Shardul Thakur took five wickets between themselves.
Earlier, Nitish Rana-led Kolkata lost wickets at regular intervals.
Both openers Rahmanullah Gurbaz (0) of Afghanistan and Jason Roy (20) of England were dismissed early.
In-form Venkatesh Iyer fell for seven and the innings was stabilized by Rana (42) and IPL rising star Rinku Singh, who scored 46 off 35 balls before being dismissed by pacer T Natarajan.