Understanding the Question: Man Kautuhal Compilation 

The question asks us to identify the king from Medieval India who was responsible for compiling the book titled ‘Man Kautuhal’. This book is known to be a significant work, particularly in the field of Indian classical music.

Analyzing the Options and Identifying the Compiler

‘Man Kautuhal’ is historically attributed to the court and patronage of Raja Mansingh Tomar of Gwalior. Let's look at the options provided:

• Raja Mansingh Tomar: Raja Mansingh Tomar was a prominent ruler of the Tomar dynasty who ruled Gwalior in the late 15th and early 16th centuries. He was renowned for his profound interest in music and literature and was a great patron of the arts. The treatise on music, ‘Man Kautuhal’, was compiled under his direct patronage or perhaps initiated by him, making him the ruler most closely associated with this work.
• Krishna II: Krishna II was a significant ruler of the Rashtrakuta dynasty, which primarily ruled in the Deccan region during the 9th and 10th centuries, much earlier than the period associated with ‘Man Kautuhal’. His reign is known for different historical events and cultural contributions, not the compilation of ‘Man Kautuhal’.
• Parantaka Viranarayan: This name seems related to South Indian dynasties, possibly Pallava or Pandya rulers, or perhaps a variant associated with the Cholas (e.g., Parantaka I was a Chola). These dynasties existed in different periods and regions than the one where ‘Man Kautuhal’ originated, and they are not historically linked to this specific music treatise.
• Rajashekhara Varman: Rajashekhara Varman is associated with the Chera dynasty of Kerala, ruling around the 9th century CE. Like the other options, his geographical location and time period do not align with the known history of ‘Man Kautuhal’.

Based on historical evidence, the book ‘Man Kautuhal’ was compiled under the patronage of Raja Mansingh Tomar.

Significance of Man Kautuhal and Raja Mansingh Tomar

The compilation of ‘Man Kautuhal’ reflects the flourishing state of music during Raja Mansingh Tomar's reign in Gwalior. This text is considered an important source for understanding the musical traditions and practices of that era, particularly the foundations of the Gwalior gharana of music. Raja Mansingh Tomar's patronage played a crucial role in preserving and promoting Indian classical music.

Conclusion

The book ‘Man Kautuhal’ was compiled under the patronage of Raja Mansingh Tomar of Gwalior. His love for music led to the creation of this valuable text.

Revision Table: Key Details

Additional Information: Raja Mansingh Tomar and Gwalior Music

Raja Mansingh Tomar is a pivotal figure in the history of Indian classical music. He is credited with establishing the Gwalior gharana, one of the oldest and most influential schools of Hindustani classical music. His court was home to many renowned musicians, including Nayak Baiju (also known as Baiju Bawra, though historical accuracy of this association is debated by some scholars) and Bakshu. The compilation of ‘Man Kautuhal’ is a testament to his commitment to systematizing and documenting the musical knowledge and practices of his time. The book provided a framework for musical education and performance.