The result pushed the Panthers out of contention for the play-offs. Patna Pirates finished with 42 points while Jaipur ended with 36 points.
It was a team effort by the Pirates who led 16-9 at half-time. They inflicted an all-out in the 12th minute to gain an upper hand that finally proved decisive.
Pirates will now take on U Mumba in the semifinals in Mumbai on Friday.
Pirates had a confident start with Gurvinder getting a toe touch on Prashant Chavan and Girish Ernak getting Kuldeep Singh at the other end.
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Patna soon inflicted an all-out as the Korean Tae Deok Eom grabbed two raid points and at the other end Rajesh Narwal and Sonu Narwal were brought down in heavy tackles.
Rajesh and Sonu were off-colour today. In fact, both Rajesh and Sonu had three bonus points. He scored two raid points but those came too late.
Any hopes that the holders had faded away in the second half. Tae and Girish Ernak, Amit Hooda put up a tight defence. The rival raiders who were forced to go for points went in deep and paid the penalty.
Girish came up with his best performance to date with five points. The most valuable of those was when he pushed Rajesh Narwal out to take the score to 25-21 and when Tae literally carried Kuldeep over his shoulders and threw him out, the match was decided.