Explanation:

- Correct Answer: Option 1, Amir Hassan Sizzi

- Amir Hassan, also known as Amir Hassan Sijzi, compiled the book ‘Fawaid ul Fawad.’ It is a record of the conversations of the Sufi saint Shaikh Nizamuddin Auliya.

- Option 2, Amir Khusro

- Amir Khusro was a prominent musician, poet, and scholar in the court of Alauddin Khilji. He was a disciple of Nizamuddin Auliya but not the compiler of ‘Fawaid ul Fawad.’

- Option 3, Ziauddin Barni

- Ziauddin Barni was a historian and political thinker. He wrote several historical texts but was not associated with ‘Fawaid ul Fawad.’

- Option 4, Hasan Nizami

- Hasan Nizami was a Persian historian, known for his work on the history of the Delhi Sultanate, not related to ‘Fawaid ul Fawad.’