A and B started a business investing in the ratio 3 : 5. After 3 years, A withdrew his capital. B continued alone for 2 more years. If the total profit after 5 years is Tk. 34,000 what is A’s share of the profit?

Question: A and B started a business investing in the ratio 3 : 5. After 3 years, A withdrew his capital. B continued alone for 2 more years. If the total profit after 5 years is Tk. 34,000 what is A’s share of the profit? Solution:Let A's capital = 3xLet B's capital = 5x A’s investment for 3 years = 3x × 3 = 9xB’s investment for 5 years = 5x × 5 = 25x Ratio of profits = 9x : 25x = 9 : 25 ∴ Total contribution units = 9 + 25 = 34 Here, total profit = Tk. 34,000∴ A’s share = (9/34) × 34000 = (9 × 34000)/34 = 9000