Step 1: Understanding the book.
Amuktamalayada is a Telugu language work written by the Vijayanagara king Krishnadevaraya. It is a poetic work that tells the story of the hero, the king's daughter, and their moral lessons. The book is highly regarded for its literary merit.
Step 2: Analyzing the options.
(A) Harihar-I: Incorrect. Harihar-I was the co-founder of the Vijayanagara Empire but did not write Amuktamalayada.
(B) Bukka-I: Incorrect. Bukka-I, like Harihar, was an important ruler of the empire but was not the author of the text.
(C) Devaraya-I: Incorrect. Devaraya-I was another significant ruler of the empire, but he did not write this work.
(D) Krishnadevaraya: Correct. Krishnadevaraya is the author of Amuktamalayada.
Step 3: Conclusion.
The correct answer is (D) Krishnadevaraya, as he wrote the famous Telugu work Amuktamalayada.