The left-arm spin duo snared 7 out of the 10 wickets to skittle out West Indies for 131 in 42.4 overs as they recorded their career bst figures.
Rajeswari was the pick of the bowlers with figures of 4/21 while Ekta Bist chipped in with 3/14 in 8 overs.
In reply, India were struggling at 36 for four before Veda Krishnamurthy's unbeaten 52 off 70 balls along with veteran batswoman Mithali Raj's patient 46 off 91 balls enabled the home team to chase down the target in 39.1 overs.
Brief Scores: West Indies Wom 131 in 42.4 overs (Rajeswari Gayakwad 4/21, Ekta Bist 3/14)
India Wom 133/4 (Veda Krishnamurthy 52 no, Mithali Raj 46). Indian Women won by 6 wickets.