Trying to use INNER JOIN and GROUP BY SQL with SUM Function, Not Working

Two ways to do it...

GROUP BY

SELECT RES.[CUSTOMER ID], RES,NAME, SUM(INV.AMOUNT) AS [TOTAL AMOUNT]
FROM RES_DATA RES
JOIN INV_DATA INV ON RES.[CUSTOMER ID] INV.[CUSTOMER ID]
GROUP BY RES.[CUSTOMER ID], RES,NAME

OVER

SELECT RES.[CUSTOMER ID], RES,NAME, 
       SUM(INV.AMOUNT) OVER (PARTITION RES.[CUSTOMER ID]) AS [TOTAL AMOUNT]
FROM RES_DATA RES
JOIN INV_DATA INV ON RES.[CUSTOMER ID] INV.[CUSTOMER ID]

Use subquery

SELECT * FROM RES_DATA inner join (SELECT [CUSTOMER ID], sum([TOTAL AMOUNT]) FROM INV_DATA group by [CUSTOMER ID]) T on RES_DATA.[CUSTOMER ID] = t.[CUSTOMER ID]

This should work.

SELECT a.[CUSTOMER ID], a.[NAME], SUM(b.[AMOUNT]) AS [TOTAL AMOUNT]
FROM RES_DATA a INNER JOIN INV_DATA b
ON a.[CUSTOMER ID]=b.[CUSTOMER ID]
GROUP BY a.[CUSTOMER ID], a.[NAME]

I tested it with SQL Fiddle against SQL Server 2008: http://sqlfiddle.com/#!3/1cad5/1

Basically what's happening here is that, because of the join, you are getting the same row on the "left" (i.e. from the RES_DATA table) for every row on the "right" (i.e. the INV_DATA table) that has the same [CUSTOMER ID] value. When you group by just the columns on the left side, and then do a sum of just the [AMOUNT] column from the right side, it keeps the one row intact from the left side, and sums up the matching values from the right side.