A, B and C started a business with initial investments of Tk. 1250, Tk. 1750 and Tk. 2000 respectively. After one year A, B and C made additional investments of Tk. x + 650, Tk. x +500, Tk. x + 850 respectively. Find the profit share of B out of the total profit of Tk. 4350, after two years.

Question: A, B and C started a business with initial investments of Tk. 1250, Tk. 1750 and Tk. 2000 respectively. After one year A, B and C made additional investments of Tk. x + 650, Tk. x +500, Tk. x + 850 respectively. Find the profit share of B out of the total profit of Tk. 4350, after two years.

Solution:
A : B : C = {(1250 × 24) + (x + 650) × 12} : {(1750 × 24) + (x +500) × 12} : {(2000 × 24) + (x + 850) × 12}
= (30000 + 7800 + 12x) : (42000 + 6000 + 12x) : (48000 + 10200 + 12x)
= (37800 + 12x) : (48000 + 12x) : (58200 + 12x)
= {12(3150 + x)} : {12(4000 + x)} : {12(4850 + x)}
= (3150 + x) : (4000 + x) : (4850 + x)

Here x is not defined so the share of B can’t be determined.