Calculating totals from groups using defined lists

Hi everyone, I'm new to this forum and to the world of advanced calculation in Excel. So my question may be run of the mill but please bear with me.

I have a spreadsheet that has a list defined (Insert->Name->Define). The list is called 'ExpenseCodes'. The purpose of this list is to catergorise the differrent expenses that I have in a month. As you can see in the attached workbook. I have listed a few expenses and a few categories in the 'ExpenseCodes' list.

Now my question is this. How would I be able, without having to sort the list of expenses, calculate the totals for each category? For Example. In my list, I have made 3 expenses that fall under the 100 category, 2 under 205 and so on. I want to know, if possible, how to create a formulae that will search thru a column, find a specific value, and when it finds that value, add the amount in the column next to it, and eventually give me a grand total.

The totals for each category should end up being

100 = 100019
205 = 425
200 = 5000
215 = 200

Thank you for your help in advance.