A sum of Rs. 53 is divided among A , B and C in such a way that a gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio of their share is:

Total sum = Rs. 53
A gets Rs. 7 more than B
B gets Rs. 8 more than C

​Let C's share = x
Then, B's share = x + 8
A's share = (x + 8) + 7 = x + 15
Total: x + (x + 8) + (x + 15) = 53

x + x + 8 + x + 15 = 53
3x + 23 = 53
3x = 30
x = 10

So, 

C’s share = 10
B’s share = 18
A’s share = 25
Ratio = A : B : C = 25 : 18 : 10

Thus, the correct answer is (c).