Susan saved $$500$ at the end of every month in her retirement account for $10$ years $($during age $25-35)$ and then quit saving. However, she did not make any withdrawal until she turned $65($i$.$e$.,30$ years after she stopped saving$).$ Her friend Cathy started saving $$650$ at the end of every month for $30$ years during age $35-65.$ What will be the difference in accumulated balances in their retirement accounts at age $65$ if both earned an average return of $9\%$

Group of answer choices

$$31,591$

$$235,305$

$$562,479$

$$121,015$