d
$\mathrm{P}=\frac{\mathrm{V}^{2}}{\mathrm{R}}$ so, $\mathrm{R}=\frac{\mathrm{V}^{2}}{\mathrm{P}} \therefore \mathrm{R}_{1}=\frac{\mathrm{V}^{2}}{100}$ and $ \mathrm{R}_{2}=\mathrm{R}_{3}=\frac{\mathrm{V}^{2}}{60}$
Now, $\mathrm{P}_{1}=\frac{(250)^{2}}{\left(\mathrm{R}_{1}+\mathrm{R}_{2}\right)^{2}} \cdot \mathrm{R}_{1}$ and
$\mathrm{P}_{2}=\frac{(250)^{2}}{\left(\mathrm{R}_{1}+\mathrm{R}_{2}\right)^{2}} \cdot \mathrm{R}_{2}$ and $\mathrm{P}_{3}=\frac{(250)^{2}}{\mathrm{R}_{3}}$
$\mathrm{P}_{1} \cdot \mathrm{P}_{2} \cdot \mathrm{P}_{3}=15: 25: 64 \Rightarrow \mathrm{P}_{1}<\mathrm{P}_{2}<\mathrm{P}_{3}$