Where is Hampi located in which state?

Karnataka
Hampi/State

Hampi is a town in Hospet taluk of the Vijayanagara in the Indian state of Karnataka. Located along the Tungabhadra River in the east and center part of the state, near the border of Andhra Pradesh, Hampi is near the city of Hosapete.

What is the old name of Hampi?
Kishkindha-Kshetra
Hampi was previously known as Kishkindha-Kshetra, Bhaskara-Kshetra or Pampa-Kshetra. The Kannada name Hampe was derived from the Tungabhadra river Pampa; and Hampi is the aglicized version of Hempe. 2.

Who destroyed Hampi?
Alauddin Khalji
The Hoysala Empire and its capital Dvarasamudra in southern Karnataka was plundered and destroyed in the early 14th century by the armies of Alauddin Khalji, and again in 1326 CE by the army of Muhammad bin Tughlaq.

Who was the first ruler of Vijayanagar Empire?

Harihara

The city and its first dynasty were founded in 1336 by five sons of Sangama, of whom Harihara and Bukka became the city’s first kings. In time Vijayanagar became the greatest empire of southern India.