The magnetic and electrical properties of the system of solid solutions (1-$x$)BiFeO$_{3}$–$xR$MnO$_{3}$, where $R$ = Sc or Y (0.05 $\leq x \leq$ 0.4), synthesized by nitrate technology are studied. The presence of ferromagnetic ordering in these ceramic multiferroics at room temperature is established. The concentration dependences of the magnetization $M(x)$ for both systems of solid solutions have an extremum; the maximum magnetization is observed in the compositions at $x$ = 0.15. The coercivity field $H_{c}$ for these compositions is of $\cong$ 5–90 Oe. The dielectric permeability of the samples (at $T$ = 300 K) varies in the range $\cong$ 17–297 at a frequency of 1 kHz, and at a frequency of 1 MHz, it varies in the range $\cong$ 7–25.