The influence of Buddhism reached Chhattisgarh during the time of:

The Maurya Empire
The Gupta Empire
The British Raj
The Mughal Empire

The correct answer is: The Maurya Empire.

The Maurya Empire was an ancient Indian empire that ruled over much of the Indian subcontinent from the 4th to the 2nd century BCE. It was founded by Chandragupta Maurya, who united the Indian subcontinent under his rule. The Maurya Empire was a major center of Buddhism, and the emperor Ashoka the Great was a devout Buddhist. Ashoka is credited with spreading Buddhism throughout the Indian subcontinent and beyond.

The Gupta Empire was an ancient Indian empire that ruled over much of the Indian subcontinent from the 4th to the 6th century CE. It was a golden age of Indian culture and learning. The Gupta Empire was not a major center of Buddhism, but Buddhism did exist in the empire.

The British Raj was the period of British rule in India from 1858 to 1947. The British Raj was not a major center of Buddhism.

The Mughal Empire was an Islamic empire that ruled over much of the Indian subcontinent from the 16th to the 18th century. The Mughal Empire was not a major center of Buddhism.

In conclusion, the influence of Buddhism reached Chhattisgarh during the time of the Maurya Empire.