Nehra plucked 3 for 13 while Dhaval Kulkarni, Dwayne Bravo and Raje took two wickets apiece as Royals collapsed from 74/3 to 103 all out in 16.2 overs. In reply Mumbai Indians hunted down the target in 15.1 overs.
Mumbai's batting ace Uthappa continued the good work done by his seamers with an unconquered 34 off 21 studded with four boundaries and a six.
Chasing a paltry - but can be tricky at times - openers Jayasuriya and Takwale got off Mumbai to a steady start with 41-run stand in just under nine overs. The left-hand right-hand pair ensured trouble-free opening spells from slippery Tanvir and Munaf playing 'em with atmost caution before opening up the arms for first change Trivedi.
Watson drew the first blood when he had Jayasuriya caught Pathan. Royals give Indians some scary moments when they dismissed Takawale and Bravo in successive overs to reduce the Mumbai unit to 72/3 in the twelfth over. However Uthappa and Abishek Nayar ensured their side home with no further damages.
Indians finished their business of first-leg league ties with three wins on trot after having suffered four successive loses. This win helped Mumbai unit leapfrog two slots to fifth position in points tally.
Earlier Mumbai seamers bowled to a tidy line and length and mixed up the balls well to induce Royals' batters commit mistake on a bald wicket conducive for sloggers.
Asnodkar top-scored for Royals with 36-ball 39 while Watson made a strokeful 32.
Jaipur outfit having put in to bat got off to a disasterous start losing the in-form Graeme Smith and Yusuf Pathan in the fourth over.
Smith was first to go to a bizarre stumping off the bowling of his fellow countryman. The fiesty South African southpaw walked into the drive to a short of good length and missed it completly and just kept walking. Infact Smith had all the time to get back to the crease as gloveman Takwale fumbled before taking off the bails.
In the following over Nehra castled Yusuf Pathan to reduce Royals to 12/1 in the fourth over.
Watson joined the Goan Asnodkar in the middle and the duo played their strokes without any inhibitions.
They threatened to swing the balance towards Royals, putting on 53 runs in less than five overs before Watson was bowled by wily right-arm seamer Dwayne Bravo for 20-ball 32. Watson hit four boundaries and a six.
Watson's dismissal prompted a collapse. Mohd Kaif continued his poor run in the event when his full-blooded cut off Raje flew straight into the hands of Nehra at deep third-man to leave Jaipur reeling on 82/4 in the 11th over. The next man in Jadeja got out for first ball duck after top-edging the pull off Dhaval Kulkarni to Takwale, who had a good outing behind the wicket with four catches.
Skipper Warne too came and went in jiffy giving a regulation catch to Takwale off Kulkarni for 7. Asnodkar trying to up the scoring rate heaved Raje to Nehra stationed at long-off.
Nehra accounted for Tanvir and Rawat in successive balls off his second spell to return with a fine figures of 3 for 13 in three overs.
Bravo bowled Trivedi with a slower one as Royals' innings was folded up for too little to defend.