Paramagnetic property depends upon the number of unpaired electrons. Higher the number of unpaired electrons, higher the paramagnetic property will be.
$\mathrm{Cu}^{2+}=[\mathrm{Ar}] 3 d^9 \text {, no. of unpaired electrons }=1$
$\mathrm{V}^{2+}=[\mathrm{Ar}] 3 d^3$, no. of unpaired electrons $=3$
$\mathrm{Cr}^{2+}=[\mathrm{Ar}] 3 d^4$, no. of unpaired electrons $=4$
$\mathrm{Mn}^{2+}=[\mathrm{Ar}] 3 d^5$, no. of unpaired electrons $=5$
Hence, correct order is
$\mathrm{Cu}^{2+} < \mathrm{V}^{2+} < \mathrm{Cr}^{2+} < \mathrm{Mn}^{2+}$