From 17 January 1790 to 29 June 1791, under Captain William Mackintosh, she made one round trip for the East India Company to China.

[3] The British Government then chartered her to take Lord Macartney to China in an unsuccessful attempt to open diplomatic and commercial relations with the Chinese empire.

[4] Hindostan traveled in the company of the 64-gun HMS Lion under Captain Sir Erasmus Gower, and the brig Jackall.

[3] While Hindostan was at Whampoa anchorage in December there were several other East Indiamen there that on their return to Britain the Admiralty would also purchase: Ceres, Earl of Abergavenny, and Warley, and Royal Charlotte.

[6] On her return trip Hindostan crossed the Second Bar on 4 February 1794, reaching St Helena on 18 June and the Downs on 7 September.

[9] Mustapha Bashaw, Dey of Algiers and named Algerian owners of the ship claimed the vessel and cargo.

[1] On 17 September 1801 she arrived at Cape Town from Rio de Janeiro, together with Jupiter and Euphrosyne, after a voyage of about a month.

Captain Losack, of Jupiter, decided to accompany the convoy eastward until they were unlikely to encounter some Spanish and French vessels known to be cruising off Brazil.

On the morning of 2 April, while about 30 miles to the south-east of Cape St. Sebastian, thick smoke was seen coming from the fore and main hatchways.

[13] After struggling to fight the fire for about 7 hours, but when they were still 15 miles (24 km) from shore, flames suddenly erupted from the hatchways.

The crew was able to run Hindostan aground in Rosas Bay, about a mile from the Fort of Ampurius and the Church of Saint Peter.

[14]{{|efn|One of the surviving passengers was Claudius Rich, who became an Assyriologist, business agent, traveller, and antiquarian scholar.}}

On 19 April a court martial on board Royal Sovereign honourably acquitted Captain Le Gros, his officers, and the ship's company.

It was suggested that the fire may have been due to spontaneous combustion of hemp cordage or sails being stored when not completely dry.