India had already clinched the five-match series when it defeated Pakistan by three wickets in the fourth match. The third match was abandoned due to rain.
Chasing Pakistan's 294 for nine, India rode on Man of the Match Gamvit's superb batting which saw him hit 13 boundaries as he plundered 79 off just 37 deliveries.
Subhash Boya came up with an equally flamboyant 62 off 22 balls while Rajender Verma scored 60 off 54 balls to comfortably take India to 298 for the loss of three wickets in just 27 overs.
Sushil Gupta also contributed in the Indian victory with a valuable 54 off 39 balls.
Pakistani bowlers Zeeshan Abbasi and Mohammad Fayaz took one wicket each conceding 37 and 54 runs respectively.
Earlier, Tariq Samuel (51 off 36 balls), all-rounder Abbasi (39), Sultan Shah (34) and Adnan Ahmad (33) helped Pakistan to set a competitive total as they made 294 for nine wickets in 32 overs.
For India, Shekhar took 2/43 while Ashish Negi and all- rounder Subhash Boya pocketed a wicket each.
Pakistan 294 for nine in 32 overs (T Samuel 51, Z Abbasi 39, S Shah 34; S Naik 2/43) lost to India 298 for three in 27 overs (G Gamvit 79 no, S Boya 62, R Verma 60; Z Abbasi 1/37) by seven wickets.