The correct option is Rasamanjari.
Explanation
The question pertains to Sanskrit Poetics (Alankara Shastra), specifically the tradition of classifying archetypal characters in erotic literature. This involves the categorization of heroes (nayakas) and heroines (nayikas) based on their emotional states and romantic situations.
- Rasamanjari (Correct): This text was composed by Bhanu Datta (a Maithili Brahmin) in the 14th or 15th century. It is a specific treatise dealing with the detailed classification of nayakas and nayikas. It is considered a seminal work in the later Sanskrit tradition regarding the typology of lovers.
- Rasikapriya (Incorrect): This is a famous work on aesthetics and love poetry written by Keshavdas in 1591 AD. It is composed in Braj Bhasha (Hindi), not Sanskrit, and belongs to the Riti period of Hindi literature.
- Kavipriya (Incorrect): This text was also written by Keshavdas in 1601 AD. It is a treatise on poetic figures of speech (Alankaras) intended to instruct courtesans and students in the art of poetry.
- Amaru Shataka (Incorrect): This is a collection of 100 stanzas on erotic love (Sringara) attributed to the poet Amaru. It dates back to the 7th or 8th century, significantly earlier than Bhanu Datta's work.
Key Takeaway: Rasamanjari is a 14th-century Sanskrit text by Bhanu Datta that focuses exclusively on the Nayaka-Nayika Bheda (classification of heroes and heroines).