The response to the application filed by activist Raman Sharma also said that five rare books go missing from the library every week.
"The reply received from the deputy director library revealed that in the past ten years more than 2,400 books have been damaged in the library," Sharma said.
327 rare books borrowed by members of the library, in the same period, have not been returned, the response said.
"The books swindled by the members include very rare books on different subjects including law, spirituality, religion, academics, history, health, politics, culture and art written by local, national and international authors like George Morrow, Khushwant Singh, Jawaharlal Nehru and Prof Bhim Singh," the reply said.
The missing books are in Dogri, Urdu and Hindi languages, out of which many are based on the religious history of Jammu, Kashmir and Ladakh regions.