Step 1: Recall ATP requirement for \(\mathrm{CO_2}\) fixation.
For fixation of one molecule of \(\mathrm{CO_2}\),
\[
\boxed{
\begin{aligned}
\mathrm{C_3} &: 3\ \text{ATP}
\mathrm{C_4} &: 5\ \text{ATP}
\end{aligned}
}
\]
The additional 2 ATP in \(\mathrm{C_4}\) plants are required for regeneration of PEP.
Step 2: Find the ratio.
\[
\boxed{
\mathrm{C_3:C_4}=3:5
}
\]
Step 3: Choose the correct option.
Hence, the correct option is
\[
\boxed{(B).}
\]