I got my Qatari RP after quite a few discussions with the personnel department on why I wanted to keep my Saudi RP. Eventually I got my Qatari RP valid for 1 year only. I have 1 year to either let go of my Saudi RP or have my Qatari RP renewed again for 1 year (which is fine by me).

I would not advise this to anyeone else, unless it was absolutely mandatory for you keep two RP's.