The question is ambiguous. It could be interpreted in a couple of ways, so I'll address each:
Interpretation 1: Which city, nicknamed "The Golden City," is a state capital?
Based on the context and general knowledge, no capital city is widely known primarily as "The Golden City." While some capital cities might have golden architectural elements or historical connections, they are not universally referred to by that nickname.
Interpretation 2: Which city, nicknamed "The Golden City," is the capital of its administrative district/area?
Jaisalmer, known as "The Golden City," is the administrative headquarters (effectively the "capital") of the Jaisalmer District in Rajasthan, India.
Therefore, to answer the second interpretation:
Jaisalmer, India is the golden city that serves as the capital of its administrative district.
