Ans: (a) $\$198$ (b) Loss
- The selling price of the birthday cake
$\begin{array}{cl}
= & \$360\times (1-45\%) \\
= & \$198
\end{array}$ - The cost of the birthday cake
$\begin{array}{cl}
= & \$360\div (1+80\%) \\
= & \$200
\end{array}$Since the cost of the birthday cake is higher than the selling price of the birthday cake, there will be a loss of $\$2$ after selling the birthday cake.