A, B, C Three partner's start a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Tk. 16500 at the end of the year, B's share is?

Question: A, B, C Three partner's start a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Tk. 16500 at the end of the year, B's share is?

Solution:
Let,
C’s Capital = x
Then, B’s capital = 4x

∴ 2A = 3B
⇒ 2A = 3 x 4x
⇒ 2A = 12x
∴ A = 6x
Then, A : B : C = 6x : 4x : x
= 6 : 4 : 1

So, B's share= 16500 x (4/11)
= Tk. 6000