A total profit of Rs. 3,600 is to be distributed amongst A, B and C such that A : B = 5 : 4 and B : C = 8 : 9. The share of C in the profit is:

Explanation:-

A Total Profit = Rs. 3600.
Profit ratio, .
A : B = 5 : 4.
B : C = 8 : 9.
As B is common in both ratio, we make B equal in both ratio by multiplying One B in another.
A : B = 5 : 4*8.
B : C = 8*4 :9.
So, ratio of .
A : B : C = 40 : 32 : 36 = 10 : 8 : 9.
Now, .
C shares in profit = ^{(3600 * 9)}/₂₇ = Rs. 1200.