The present work describes the synthesis of Mn 0.5 Zn 0.5 Cr x Fe 2−x O 4 (x = 0.1, 0.2, 0.3) ferrite nanoparticles by solution combustion method and their detailed structural, electrical, magnetic, and optical characterizations. X-ray pattern represents the creation of a single spinel structure. In addition to this, the distribution of cations is also approximated from X-ray study which is then authenticated by the magnetization technique also. The crystalline size (23-21 nm) and lattice parameter (8.39-8.30 Å) are found to shrink with the rise in chromium ions. A decrease in saturation magnetization (0.80-0.64 emu/g) and remanent magnetization (0.05-0.03 emu/g) is found with the rise in chromium ions, while the coercivity is found to increase (83-123 Oe) through the adding of chromium ions. FTIR predicted the two absorption bands (ν 1 and ν 2) near 600 and 400 cm −1. Dielectric constant and loss tangent were observed to decrease with an increase in frequency, whereas AC conductivity attains a nearly constant value at a lower frequency and observed to increase at higher frequencies with the addition of dopant.