Self join taking time - sql

Question

I am having below query which selects SUM of AAD_00TO30 columns depending upon some conditions.
The query executes in 1 sec when I remove below condition, but it takes more than a min when same condition is included.
Can someone please suggest me any alternative to modify the query for better performance.
AND A.AAD_DATE >= (SELECT MAX(B.AAD_DATE)
FROM MST_AR_AS_ON_DATE B
WHERE MONTH(B.AAD_DATE) = MONTH(A.AAD_DATE) AND YEAR(B.AAD_DATE) = YEAR(A.AAD_DATE))
Query:
SELECT '00-30 #66ff66',SUM(A.AAD_00TO30) FROM MST_AR_AS_ON_DATE A
WHERE MONTH(A.AAD_DATE) = MONTH(DATEADD(MM,-1,GETDATE()))
AND YEAR(A.AAD_DATE) = YEAR(DATEADD(MM,-1,GETDATE()))
AND A.AAD_RESP_NOW = 4
AND A.AAD_DATE >= (SELECT MAX(B.AAD_DATE)
FROM MST_AR_AS_ON_DATE B
WHERE MONTH(B.AAD_DATE) = MONTH(A.AAD_DATE) AND YEAR(B.AAD_DATE) = YEAR(A.AAD_DATE))

Answer 1

Try using RANK() to tag rows that meet the criteria of having the last date of the month. Then eliminate rows without a winning rank:
WITH
MST_AR_AS_ON_DATE_RANKED AS (
SELECT
*,
RANK() OVER (
PARTITION BY
YEAR(AAD_DATE),
MONTH(AAD_DATE)
ORDER BY
AAD_DATE DESC -- last day of month ranked highest
) AS AAD_DATE_RANK
FROM
MST_AR_AS_ON_DATE
)
SELECT
'00-30 #66ff66',
SUM(AAD_00TO30)
FROM
MST_AR_AS_ON_DATE_RANKED
WHERE
MONTH(AAD_DATE) = MONTH(DATEADD(MM,-1,GETDATE()))
AND YEAR(AAD_DATE) = YEAR(DATEADD(MM,-1,GETDATE()))
AND AAD_RESP_NOW = 4
AND AAD_DATE_RANK = 1
;