I would like to calculate total order amount in the previous month.
I got the query for getting the data for the present month from the current date.
Here you go, use this to get the date between the 1st of last month and the last of last month in MySQL:
... order_placed_date BETWEEN DATE_FORMAT(NOW() - INTERVAL 1 MONTH, '%Y-%m-01 00:00:00') AND DATE_FORMAT(LAST_DAY(NOW() - INTERVAL 1 MONTH), '%Y-%m-%d 23:59:59')