In the present communication, based on two extensions of Shannon entropy cumulative entropy by Rao, et al, 2004 and Kerridge's inaccuarcy by Kerridge, (1961), we study and obtain some properties of weighted cumulative residual (past) inaccuracy for truncated random variables. Several properties, including monotonicity, bounds and their connections to proportional (reversed) hazard model are obtained for left, right and doubly truncated random variables.