If B=83 1/3 % of c, and a =60% of b, what percent is a of c

a) 1/2
b) 52.5
c) 55 5/9
d) 58 1/3
e) 50

E) 50%

I just plugged in numbers and tested it out. If c was 100, then B would be 83 1/3 and A would be about 50, which is 60% of 83 1/3. And 50 is 50% of 100.
And to make sure that's right, just make C any number you want and test it out. I did several and they all came to be 50%.

b = 5c/6 and a = 3b/5

5c/6 = 5a/3 => a = c/2 (a is 50% of c).