FlyerTalk Forums - View Single Post - Anybody used the Citi Prestige 4th night free hotel benefit? (Dec 2014 - Jul 22,2017)
Old Jan 29, 2015, 2:56 pm
  #93  
VegasGambler
FlyerTalk Evangelist
 
Join Date: Oct 2014
Posts: 10,904
Originally Posted by thorthor
you forgot the 7% cashback that you can get at hotels.com in addition to the other rebatets.
No I didn't. That's 7 of the 10% that you get on 10 of the 11 nights.

You stay 11 nights:

You don't pay for one of them. That's 1 night.
You get 7% back on the 10 paid nights. That's 10*7% = 70% of a night.
You get 3% back on the card the 10 paid nights. That's 10*3% = 30% of a night.

Your total rebate is (1 + 0.7 + 0.3) / 11 = 2/11 = 18.18%
VegasGambler is offline