If 3 (A's capital) = 4 (B's capital) = 6 (C's capital), then out of the total profit of Tk 8,100, B will receive:

Question: If 3 (A's capital) = 4 (B's capital) = 6 (C's capital), then out of the total profit of Tk 8,100, B will receive:

Solution:
Let,
A's capital = a
B's capital = b
C's capital = c

Then,
3a = 4b = 6c
Now,
3a = 4b
⇒ b = 3a/4
Again,
3a = 6c
⇒ c = 3a/6 = a/2

A : B : C = a : (3a/4) : (a/2)
= 4a : 3a : 2a [multiply by 4]
= 4 : 3 : 2

∴ Sum of ratio = (4 + 3 + 2) = 9
So, B's share = 8100 × (3/9)
= 900 × 3
= Tk 2,700