The modified ghost fluid method (MGFM) [T. G. Liu, B. C. Khoo, and K. S. Yeo, J. Comput. Phys. 190 (2003) 651-681] is employed to decouple the fluid elastic-perfectly plastic solid interaction in the Eulerian coordinate system, where the fluid is compressible and the solid is elastic-perfectly plastic incorporating the von Mises yield condition. To treat the multi-material interface, a one dimensional fluid elastic-perfectly plastic solid Riemann problem is constructed and corresponding exact Riemann solver is proposed to define the ghost fluid statues. Unlike the previous MGFM cooperated with the level set technique, an alternative straightforward approach based on the one dimensional implementation is adopted to manage the interaction between jet flow and solid target approximately in two dimension, in order to avoid the ravelment caused by utilizing the level set technique. Multiple numerical tests manifest that the MGFM performs effectively and robustly, and the justifications for the exact solution and the MGFM prove that they are also reliable and credible.