A total profit of Tk. 5400 is to be distributed amongst A, B and C such that A : B = 5 : 4 and B : C = 8 : 9. The share of B in the profit is:

Question: A total profit of Tk. 5400 is to be distributed amongst A, B and C such that A : B = 5 : 4 and B : C = 8 : 9. The share of B in the profit is:

Solution:
A Total Profit = Tk. 5400

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 × 8) : (4 × 8) = 40 : 32
B : C = (8 × 4) : (9 × 4) = 32 : 36

So, ratio of A : B : C = 40 : 32 : 36 = 10 : 8 : 9

Now,
B shares in profit = (5400 × 8)/27
= Tk. 1600