He was the joint owner of the Kapurthala Estate in Awadh, Uttar Pradesh. When he sought a partition of this Estate his brother, Raja Randhir Singh opted to keep the Estate undivided and, instead, chose to compensate Bikrama Singh. A settled amount was deposited into a Trust which was used to procure a fresh Estate for Bikrama Singh. The lands finally vested in Bikrama Singh in the districts of Sitapur and Rae Bareli in the United Provinces (present day Uttar Pradesh) were formalized by the central government through the Bikrama Singh Estates Act 1883 (an unrepealed Act of the Government of India).
