Seamer Mark Adair (3-39) was the pick of the home bowlers with his changes of pace, while off-spinner Simi Singh (2-19) again impressed with his accuracy and variations.
Mahendra Singh Dhoni became the first Indian wicket-keeper to effect 400 dismissals in ODIs.
Australian captain Aaron Finch said his team "needed a bit of luck" to get the better of South Africa in their ICC T20 World Cup opener here on Saturday.
Seamer Wiaan Mulder, brought belatedly into the home attack, took three wickets in 11 balls to see Sri Lanka slump to 80-4, after which Nortje bagged regular victims to complete a second test five-wicket haul.
India started well as opener Shikhar Dhawan scored 79 from 84 balls and former captain Virat Kohli 51 from 63, but when they were dismissed the touring side struggled to keep up with the required run-rate and finished on 265 for eight.
Umesh Yadav and Mohammad Siraj have been added to the squad as injury replacements but they do not figure in the World Cup-bound squad, as of now.
South Africa lost both openers but were still 230 runs ahead of Bangladesh at the close on the third day of the first Test when bad light stopped play on Saturday.
A weakened South African batting line-up has been 'crippled further' by the sudden retirement of the seasoned Quinton de Kock, said the country's former star batter Hashim Amla.
While the batting looks in perfect shape, India's new-look pace department needs to come up with something special against the Proteas in Cuttack on Sunday.
In other big movements, Punjab Kings have released their last edition's captain Mayank Agarwal, while West Indies skipper Nicholas Pooran was released by Sunrisers Hyderabad.
IMAGES from Day 1 of the second Test between South Africa and India, in Johannesburg, on Monday.
Sunrisers Hyderabad need a complete, all-round performance against Lucknow Super Giants in the IPL match on Monday to register their first win of the season.
Images from Day 2 of the first Test between New Zealand and South Africa in Christchurch on Friday.
Who do you think should be part of India's playing XI for the final ODI against South Africa?
Opener Shubman Gill, who is part of the Indian squad for the South Africa Tests, perished for a three-ball duck in the second innings.
Images from Day 1 of the third Test between South Africa and India, in Cape Town, on Tuesday.
IMAGES from the IPL 2022 game between Punjab Kings and SunRisers Hyderabad in Mumbai on Sunday.
Seamer Lungi Ngidi saved his best performance for the last game in the series as he recorded figures of 3-32.
When was the last time we saw an IPL top 50 table without the names of Virat Kohli, Rohit Sharma, M S Dhoni, and with Rishabh Pant getting almost the last empty seat? ask Srinivas Bhogle and Purnendu Maji as they list the 50 Most Valuable Players after the first 29 IPL 2022 games.
Debutant Aiden Markram suffered a horror run out just three runs shy of a century as South Africa amassed 298 for one on the first day of the first Test against Bangladesh on Thursday.
Kartik Tyagi produced a sensational last over to help Rajasthan Royals register a thrilling two run victory against Punjab Kings in the IPL match in Dubai on Tuesday.
Images from the third One-Day International between South Africa and India, in Cape Town, on Sunday.
Skipper K L Rahul blamed lack of wickets in the middle overs and a below-par show by the middle order batters for India's 31-run defeat to South Africa in the One-Day International series-opener, in Paarl, on Wednesday.
Images from the first One-Day International between South Africa and India, in Paarl, on Wednesday.
Seamer Lungi Ngidi showed all his guile to take five wickets for 19 runs as South Africa skittled West Indies for 97 and seized the initiative on the first day of the first Test in Saint Lucia on Thursday.
Rashid Khan says he has the self-belief to execute such performances after working on his batting in the last two years.
Images from Day 3 of the second Test between South Africa and India, in Johannesburg, on Wednesday.
The only loss that table toppers Gujarat Titans suffered in IPL 2022 so far was against Sunrisers Hyderabad in their first round clash.
Opener Aiden Markram made a return to form as he scored 78 to help South Africa into a strong position on the opening day of the second Test against Pakistan at Newlands on Thursday.
IMAGES from Day 3 of the opening Test, played between South Africa and India at SuperSport Park in Centurion on Tuesday.
Umran Malik's raw pace and Bhuvneshwar Kumar's consistency will be put to test against Dinesh Karthik's explosive batting and the finesse of Faf du Plessis when Sunrisers Hyderabad clash with Royal Challengers Bangalore.
Rajneesh Gupta lists the South African players's T20 Internationals records updated after the game against Bangladesh.
IMAGES from Day 4 of the opening Test between South Africa and India, in Centurion, on Wednesday.
Sarfaraz, Imad Wasim dropped from Pakistan white-ball squad vs Australia.
Elgar looked set for his 13th Test ton until he offered Sri Lanka seamer Dasun Shanaka a sharp caught-and-bowled chance that was superbly taken.
SRH and PBKS will go all out to snap the two crucial points to nose ahead in the race for play-offs.
South Africa may have bowled India out for 223 in the first innings, but ace speedster Kagiso Rabada insisted that the home side's batters will have to dig deep to win the series-deciding third Test.
Batting stalwarts Virat Kohli and Kane Williamson's woeful form will be in focus when Royal Challengers Bangalore and Sunrisers Hyderabad meet in a return IPL fixture at the Wankhede Stadium, in Mumbai, on Sunday.
Rishabh Pant understands the value of his wicket and the reason why the team management often asks him to use his discretion in shot selection during important phases of various matches.
The loss against South Africa keeps England "grounded" as it shows that the team still has plenty to work on, according to pacer Mark Wood, who expects his team to bounce back in the semi-finals of the ongoing T20 World Cup.