@Rohith_Mohanan you need js to change the value right after insertion. so custom scripts is your answer . or better just write the code in your doctype_name.js file .
frappe.ui.form.on('Server', {
date : function(frm) {
//this function will run on date change.
var old_date = frm.doc.date;
//write your code to change date , you can call frappe.utils.add_to_date()
frm.set_value("delivery_date",new_date);
refresh_field("delivery_date");
}
});