CP of one egg (in first case) = 1/3 = 33.33 paise
CP of one egg (in second case) = 1/6 = 16.66 paise
Average CP of one egg = (33.33 + 16.66) / 2 = 25 paise
SP of one egg = 200/9 = 22.22 paise (Re. 1 = 100 paise)
Profit loss = {(25 - 22.22) / 25} x 100 ( loss% = {(CP - SP) / CP} x 100)
= 11.11% loss