Human buying irrationality

I longer watch processors for Socket A on ebay, Athlon XP 1.86GHz with a PR rating of 2500+ costs $7 and Athlon XP 2.16Ghz with a PR rating of 3000+ currently cost $16.


  1. About what percentage of the Athlon XP 2.16Ghz is powerful than Athlon XP 1.86GHz

  2. About what percentage of the Athlon XP 2.16Ghz is more expensive than Athlon XP 1.86GHz

  3. About what percentage of the Athlon XP 2.16Ghz is powerful than Athlon XP 1.86GHz - based on marketing PR rating

Correct result:

a =  16.1 %
b =  128.6 %
c =  20 %


a=2.161.861.86100%=16.1%a = \dfrac{2.16-1.86}{1.86} \cdot 100 \% = 16.1 \%
b=1677100%=128.6%b = \dfrac{16-7}{7} \cdot 100 \% = 128.6 \%
c=300025002500100%=20%c = \dfrac{3000-2500}{2500} \cdot 100 \% = 20 \%

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