One of the most haunted Indian hotel is the Savoy in Mussoorie.
The hotel formally opened in 1902, two years earlier than the Taj Mahal hotel. It is said that the halls and corridors of this hotel are haunted by the ghost of Lady Garnet Orme, who was found dead in mysterious circumstances many years ago in early 1910s. Apparently strychnine had been placed in her medicine bottle, but how it got there no one could tell.
The ghost is known for wandering aimlessly in the corridors at night. Witnesses mention that on encounter the ghost of the lady seems to be looking straight at you with a blank expression. It is said that she's still looking for the person who poisoned her.
Agatha Christie used the circumstance of the crime in her first novel, The Mysterious Affair at Styles (1920). The case was quite a sensation in its time, as it involved crystal-gazing and table-rapping seances, the victim having been a practitioner of the occult.