Bumrah bowled economically and just gave 14 runs in his fours overs including a wicket while Boult returned with the figures of 3-28.
Among the demotions, pacer Bhuvneshwar Kumar has dropped to Grade B, which is worth Rs 3 crore, while Kedar Jadhav has been dropped for good.
Mumbai Indians lost the opening game against RCB on Friday and now the side would lock horns against KKR on Tuesday.
Bumrah made his debut against Royal Challengers Bangalore and scalped Virat Kohli in his maiden over after being hit for three-fours.
Bumrah, who is currently serving the seven-day mandatory quarantine, was seen lifting weight inside his team hotel room in the picture uploaded by him on Twitter.
Indian bowler Jasprit Bumrah tied a knot with sports presenter and anchor Sanjana Ganesan.
Bumrah shared adorable pictures from the wedding ceremony and the cricketer termed the date (March 15) as one the happiest days of their lives.
In the January 10 tweet, Sanjana Ganesan wrote: “Jasprit Bumrah’s on-field moods & my daily mood swings look exactly alike.” Two emoticons followed these words.
At the same time, the likes of Axar, Washington and Siraj can learn from the best even as they feel their way into Test cricket.
Since losing Joe Root to Jasprit Bumrah in the second innings of the first Test, the visitors have lost 41 wickets out of 45 wickets they have lost to the spinners.
With the squad for the T20s against England also in, barring Rishabh Pant and Washington Sundar, the other eight will all get a decent break before they join their respective franchises.
The Board said no addition to India's squad will be made for the final Test.
England had Jofra Archer, Zak Crawley, James Anderson and Jonny Bairstow coming into the side.
However, Bumrah will be back in action for the upcoming two high-stakes Test matches in Ahmedabad, which will decide New Zealand's opposition in the inaugural World Test Championship final.
England captain Joe Root's match-winning 218 in the first Test has helped him advance two places to third position. He has overtaken Kohli in the process.