During the Chola Period, the type of village that gained popularity was the Devadana village.

Explanation:
The Chola Period, which lasted from the 9th century to the 13th century, was a time of great cultural and political development in South India. The Chola dynasty was known for its efficient administration, robust economy, and patronage of the arts and architecture.

1. Agrahara:
- Agrahara villages were not popular during the Chola Period. Agraharas were land grants given to Brahmins for their support and service to the temples. These villages were typically inhabited by Brahmin priests and served as centers of religious and cultural activities.

2. Brahmadeva:
- Brahmadeva villages were also not popular during the Chola Period. Brahmadeva refers to agricultural land donated to Brahmins for their sustenance and livelihood. These villages were primarily focused on agriculture and supporting the Brahmin community.

3. Devadana:
- Devadana villages gained popularity during the Chola Period. Devadana refers to land grants made to temples by kings and wealthy individuals. These villages were dedicated to the maintenance and administration of the temples, and the revenue generated from these lands was used for the upkeep of the temple, including conducting religious rituals and festivals.
- Devadana villages were not only centers of religious activities but also served as economic hubs. The revenue generated from the land was used to provide for the temple priests, artisans, and other personnel associated with the temple.
- The Chola kings encouraged the construction and maintenance of temples and made generous land grants to ensure their sustenance. These land grants were typically accompanied by other privileges and exemptions, further enhancing the popularity of Devadana villages.
- Devadana villages played a crucial role in the socio-economic and cultural life of the Chola society. They provided employment opportunities, promoted trade and commerce, and fostered the growth of arts and literature.
- The popularity of Devadana villages during the Chola Period highlights the significance of temples and religious institutions in the society and the patronage extended to them by the ruling elite.

In conclusion, during the Chola Period, it was the Devadana villages that gained popularity, while Agrahara and Brahmadeva villages were not as prominent. These Devadana villages played a pivotal role in the religious, economic, and cultural life of the Chola society.