Total number of candies is 200/2.5=<<200/2.5=80>>80 candies.
Let x be the number of cherry candies.
There are 3*x grape candies.
There are 2*3*x=6*x apple candies.
x+3*x+6*x=80
10*x=80
x=<<8=8>>8
There are 8*3=<<8*3=24>>24 grape candies.
#### 24