Hint: We know that the Baji Rao was delegated to Peshwa, succeeding his father, by Chhatrapati Shahu Bhosale I on 17April1720. When time of his appointment, the Mughal ruler Muhammad Shah had maintained Maratha cases to the regions held by Shivaji at his demise.
We have to know that the forebear of the Bhat tradition was Balaji Vishwanath Bhat. He was the Peshwa for Chatrapati Shahu Maharaj, the Maratha ruler. The descendants of Balaji Vishwanath Bhat were to stay in the post of Peshwa to the furthest limit of the Maratha domain in Maharashtra.
Peshwa Bajirao I (brought into the world 18 August 1699 - passed away 28April1740, otherwise called Thorale (Bajirao the oldest), Bajirao Ballal, or Visa, is viewed as the most brave and celebrated of the Peshwas. His quick ranger’s developments and splendid military systems make him second just to the incomparable Shivaji.
Bajirao was the child and replacement of Peshwa Balaji Vishwanath Bhat. As a youngster he was delegated Peshwa by Chatrapati Shahu following the passing of Balaji Vishwanath 17 April 1720, at Masur Camp close to Satara). Bajirao was additionally a piece of Balaji Vishwanath's escort to Delhi 1718 - 1719 and had increased direct involvement with Mughal legislative issues.
The Nizam sought after Baji Rao's military around the region of Pune for around a half year, where Baji Rao executed a progression of attack and counter-attack moves to at long last corner the Nizam at Palkhed.
The Battle of Palkhed was battled at the city of Palkhed between the Maratha Peshwa, Baji Rao I and the Nizam-ul-Mulk of Hyderabad.
Hence, the correct answer is option (C).
Note: We must remember that the fight plan was set by the withdrawal of Baji Rao's military from the southern ranges of the Maratha realm during May 1727. This was trailed by Shahu severing arrangements with the Nizam-ul-Mulk about reclamation of the chauth.