The correct option is Sultan Ghiyasuddin Khilji.
Explanation
The architecture of Mandu (Malwa) represents a distinct Provincial Style of Indo-Islamic architecture. This style is characterized by the use of colored stones, battered walls, pointed arches, and a strong integration of buildings with water bodies (baolis and lakes) to combat the heat of the region.
Detailed Analysis
- Sultan Ghiyasuddin Khilji (Correct): The Jahaz Mahal (Ship Palace) was constructed during the reign of Ghiyas-ud-din Khilji (1469-1500 AD). It is a double-storeyed structure situated on a narrow strip of land between two artificial lakes, Kapur Talao and Munj Talao. The visual effect created is that of a ship floating on water. It was built primarily as a harem to accommodate the Sultan's large retinue of women.
- Hoshang Shah: A significant ruler of the Malwa Sultanate who shifted the capital to Mandu. He is credited with constructing the Jami Masjid and Hoshang Shah's Tomb (India's first marble structure), but he did not build the Jahaz Mahal.
- Baz Bahadur and Rani Rupmati: These figures are associated with the later phase of Mandu's history (16th century). Their architectural contributions include Baz Bahadur’s Palace and Rupmati’s Pavilion, which are distinct from the Jahaz Mahal.
Key Takeaway: Jahaz Mahal is a quintessential example of the Malwa School of Architecture, built by Ghiyas-ud-din Khilji in the late 15th century, famous for its illusionary "ship-like" appearance between two lakes.