Step 1: Understanding the Concept:
The question asks to identify the person associated with the founding of the Ramakrishna Mission.
Step 2: Detailed Explanation:
The Ramakrishna Mission is a Hindu religious and spiritual organization that forms the core of the Ramakrishna Movement. It was founded on May 1, 1897, by Swami Vivekananda, who was the chief disciple of the 19th-century saint Ramakrishna Paramahamsa. The mission's objectives are twofold: to spread the teachings of Vedanta as embodied by Ramakrishna and to carry out extensive educational and philanthropic work to improve the social conditions of the Indian people.
Step 3: Final Answer:
The Ramakrishna Mission was founded by and is directly related to Swami Vivekananda. Hence, option (C) is the correct answer.