Centuries from skipper Babar Azam (114) and opener Imam-ul-Haq (106) allowed the hosts to reach the total
Jadeja is two points ahead of Holder (384) while England all-rounder Ben Stokes is third on 377 points.
Images from Day 2 of the Pink-ball first Test between Australia and India, in Adelaide, on Friday.
Bumrah removed Australia openers Joe Burns and Matthew Wade for eight runs apiece in quick succession before tea, however, and Ashwin (4-55) drove home the advantage after the break.
The fourth Test will be played from January 5-9 at the SCG, with Australia having retained the Ashes after winning the first three games.
India were 98 for 2 at close of play on the fourth day of the third Test at the Sydney Cricket Ground on Sunday, still 308 runs behind Australia and a full day's batting away from saving the match.
Ravindra Jadeja's performance at India's recent Test win against Sri Lanka in Mohali has catapulted him to the No. 1 position in the MRF Tyres ICC men's Test player rankings.
England's batting once again disappointed against Australia on Day 2 of the third Test
Australia's Marnus Labuschange struck another half century to pile on the runs and the misery over New Zealand on Day 3 of the day-night Test in Perth on Saturday. Earlier, Starc picked a five-wicket haul.
'Batting into day three gave us that chance to really have a crack at them on day three -- it probably went better than we expected.'
Dinesh Chandimal smashed a maiden double hundred and Prabath Jayasuriya claimed 12 wickets in a dream debut to script Sri Lanka's series-levelling victory by an innings and 39 runs in the second Test against Australia in Galle on Monday.
The Test batting chart is headed by Australia's Marnus Labuschagne (915 points), followed by England captain Joe Root (900) while New Zealand skipper Kane Williamson (879) dislodged Steve Smith (877) from the No. 3 slot.
Scott Boland will become the first indigenous Australian Test player since Jason Gillespie played his last match in 2006 when he receives his baggy green cap on Sunday.
Images from Day 2 of the second Test between India and Australia, at the Arun Jaitley stadium in Delhi, on Friday.
Sri Lanka fined 40 percent of match fee for slow-over rate in second T20 against Australia
Steve Smith was struck by a Jofra Archer bouncer in the first innings at Lords and was replaced by 'concussion sub' Marnus Labuschagne for the second innings.
In the longest format of the game, Babar is ranked fifth in the world, behind Australia's Marnus Labuschagne and the 'Big Four' of India's Virat Kohli, England's Joe Root, Australia's Steve Smith and New Zealand's Kane Williamson.
Australia declared their first innings on 556 for nine and then skittled out Pakistan for 148 to seize control of the second Test in Karachi on Monday.
Khawaja and Smith steadied the ship batting through the second session.
Imam-ul-Haq hit a memorable first Test century on Friday and led Pakistan to a commanding 245-1 in its first home Test against Aus in 24 years
Captain Joe Root has already plundered an English record 1,630 Test runs in 2021 and has two half-centuries in the Ashes series so far with 89 in Brisbane and 62 in Adelaide as his side slipped to two heavy defeats.
The 34-year-old took the prized wickets of Imam-ul-Haq, Azhar Ali and Babar Azam to end Pakistan's resistance and finished with figures of 5-83 in Pakistan's second innings.
Australia bundled out Sri Lanka for 212 but endured a top order wobble of their own before reaching 98/3 in reply after a frenetic, spin-dominated day one of the opening Test in Galle on Wednesday.
Australia captain Aaron Finch says playing in the sub-continent can be intimidating, but having won an ODI series last year, he says 'Knowing that our game plan is good enough to beat India in India, that gives us a lot of confidence going there.'
Steve Smith and Marnus Labuschagne put on 116 for the third wicket before the latter was bowled by a beautiful delivery from Craig Overton for 67.
Hardik Pandya hasn't featured in Tests since 2018 and has only recently recovered from a career-threatening back injury.
Concerns that senior players would pull out of the tour due to security issues after both England and New Zealand withdrew from tours of Pakistan late last year have proven unfounded.
Pat Cummins took a five-wicket haul in a dream start to his Australia captaincy as England were skittled for 147 by tea at the Gabba before rain brought the opening day of the Ashes to an early close.
With the return of Smith and Warner, and the presence of the solid Labuschagne, the Australian captain reckons 'we'll be a different kettle of fish'.
Pakistani bowlers failed to put pressure on the hosts and failed to pick wickets.
Jofra Archer's first five-wicket haul in Test cricket put England in command on a weather-affected opening day of the third Ashes Test at Headingley on Thursday as they bowled Australia out for 179.
Images from Day 2 of the first Test between Australia and New Zealand in Perth on Friday
The opening match of the series begins in Brisbane on December 8, with Australia playing their first Test since losing to India in January.
After left-armer Afridi's two early wickets, Australia could have been in even deeper trouble but Pakistan failed to capitalise on chances offered by Khawaja and Smith.
India's injury woes deepened on the opening day of the fourth Test against Australia at the Gabba on Friday as pacer Navdeep Saini was forced to come off the field after lunch following an apparent groin issue.
Rohit Sharma's 119 laid the foundation for India's chase
Australia closed in on a victory that will see them retain the Ashes after ending an incredible second day of the third Test with a lead of 283 runs, having bowled out England for an embarrassing 67 in their first innings.
'We tried to be positive and play our shots. The team needed this knock, so I tried to bat for as long as I could.'
Babar Azam's glorious unbeaten 102 kept Pakistan alive but Australia remained on course for victory in the second Test in Karachi on Tuesday.
Dashing opening batsman David Warner won his third Allan Border Medal, while Ellyse Perry claimed her second Belinda Clark Award at the Australian Cricket Awards, in Melbourne, on Monday.
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