Explanation:

- Option 1: 1875

- This is the correct option. The revolt in the Bombay Deccan countryside occurred in 1875. It was mainly a peasant uprising against the revenue demands and oppressive practices by moneylenders, impacting mainly the farmers.

- Option 2: 1890

- This is not the correct year. There was significant unrest in various parts of India during this period, but the specific Deccan peasant uprising didn’t occur here.

- Option 3: 1790

- This is too early for the specific Bombay Deccan revolt. The late 18th and early 19th centuries did have their share of regional conflicts, but not this particular one.

- Option 4: 1905

- This year is more closely associated with the Swadeshi movement and the partition of Bengal, not the Deccan uprising.