Mandhana, leading in the absence of Harmanpreet Kaur, struck 13 fours and a six.
Following her dismissal, Richa (54, 21b; 3×4, 5×6) took charge to equal Sophie Devine and Phoebe Litchfield’s record for the fastest half-century in Women’s T20Is.
West Indies never posed a threat to the big chase to be restricted to 157/9.
Chinelle Henry waged a lone battle for the visitors with a quick 16-ball 43 but there was no support for her at the other end.
Left-arm spinner Radha Yadav led India’s bowling show, returning with 4/29. The two teams will now engage in a three-match ODI series in Vadodara from Sunday. Brief Scores
India 217/4; 20 overs (Smriti Mandhana 77, Richa Ghosh 51, Jemimah Rodrigues 39) b West Indies 157/9; 20 overs (Chinelle Henry 43; Radha Yadav 4/29) by 60 runs.