The capital of the kingdom of Maharaja Ranjit Singh was

Maharaja Ranjit Singh established his political/administrative capital at Lahore, while Amritsar functioned as the religious capital of the Sikh state. Historical accounts note that when Ranjit Singh acquired Jammu and Amritsar, the political capital (Lahore) and religious capital (Amritsar) of Punjab came under his rule, indicating Lahore’s status as the seat of government [1]. He had seized Lahore in 1799 and took Amritsar in 1802, consolidating his authority across Punjab; these military and political moves underpin Lahore’s role as the Maharaja’s capital during his reign [2]. Thus among the options given, Lahore is the correct answer.

Sources

1. [1] Rajiv Ahir. A Brief History of Modern India (2019 ed.). SPECTRUM. > Chapter 5: Expansion and Consolidation of British Power in India > Consolidation of Punjab under the Sikhs > p. 115
2. [2] Rajiv Ahir. A Brief History of Modern India (2019 ed.). SPECTRUM. > Chapter 4: India on the Eve of British Conquest > The Sikhs > p. 72