There are three times as many hogs as cats in King Henry's kingdom, meaning there are 75/3=<<75/3=25>>25 cats
60% of the number of cats in King Henry's kingdom is 60/100*25=<<60/100*25=15>>15 cats
5 less than 60% of the number of cats in King Henry's kingdom is 15-5=<<15-5=10>>10 cats
#### 10