Apart from Raje, Union ministers Arjun Ram Meghwal, Gajendra Singh Shekhawat and Ashwini Vaishnaw are said to be among the frontrunners for the chief minister's post in Rajasthan.
States like Uttar Pradesh, Uttarakhand, Gujarat, Odisha, Madhya Pradesh and Chhattisgarh had on Friday announced similar incentives.
If Meena resigns, it is likely to put pressure on other ministers whose areas also saw poor performance in the general elections.
While the going for Dushyant Singh in Jhalawar is not tough, winning Jalore is a tough battle for Vaibhav Gehlot.
The newly elected Bharatiya Janata Party MLAs in Rajasthan will meet in Jaipur on Tuesday to formally pick the next chief minister of the state, ending days of suspense after the party won the assembly elections.
Rajasthan Chief Minister Bhajanlal Sharma, state BJP president C P Joshi and Union minister Bhupendra Yadav welcomed them into the party at its state headquarters in Jaipur.
The MLAs inducted into the Rajasthan cabinet are Meena, Madan Dilawar, Rathore, Gajendra Singh Khimsar, Babulal Kharadi, Jogaram Patel, Suresh Singh Rawat, Avinash Gehlot, Joraram Kumawat, Hemant Meena, Kanhaiya Lal Choudhary and Sumit Godara.
'This is what happens to a party when it gets trapped in the vicious circle of nepotism and dynastic politics'
Even if the BJP gets 60, 70, or even 100 per cent of the votes in the seats where it scored more than 50 per cent in the 2019 Lok Sabha election, these will still add up to only 224 seats, argues Shekhar Gupta.