Solution : https://service.sap.com/sap/support/notes/33487 (SAP Service marketplace login required)
Key words : 
additional key words invoicing, header detail screen, prerequisites solution corrected, invoice type iv, condition type vprs, condition category = 'g', condition category = ' ', invoice types, condition types, billing document
Related Notes : 
       
| 142332 | |
| 62582 | Cost in billing document cannot be changed |