Question

how did the marathas suceed in recovering their lost importance in early eighteen century?

Answer 1

The Imperial Maratha Conquests were a series of conquests in the Indian subcontinent which led to the building of the Maratha Empire. These conquests were started by Shivaji in 1659 from the victory at the Battle of Pratapgad. 

The second Maratha victory came on the battle of Kolhapur. 
The Third Anglo-Maratha War (1817–1818) was the final and decisive conflict between the British East India Company and the Maratha Empire in India.  It began with an invasion of Maratha territory by British East India Company .  It resulted in the formal end of the Maratha empire and firm establishment of the British East India Company in entire India.