Statement-I: The Regional Rural Banks (RRBs) were indeed established in 1975 with the objective of providing credit to weaker sections (such as farmers, small entrepreneurs, and rural laborers) at concessional rates and mobilizing rural savings for productive activities. This statement is correct.
Statement-II: Co-operative banks in India primarily serve the rural and agricultural sectors, including rural-based industries, and to a lesser extent, urban trade and industry. These banks are indeed regulated under dual control, with oversight by both the Reserve Bank of India (RBI) and the respective state governments. This statement is also correct.
However, Statement-II does not explain Statement-I, as the two are related to different types of financial institutions. RRBs and co-operative banks serve somewhat similar objectives in rural areas, but they operate differently and are distinct entities. Thus, while both statements are correct, Statement-II does not provide an explanation for Statement-I. Hence, Correct Answer - Option A