Abir, Babul, and Chandan invest 63000, 56000, and 84000 respectively to start a business. After one year, the profit is distributed in the ratio of their investments. If Chandan's share of profit is Tk. 54000, find the total profit earned.

Question: Abir, Babul, and Chandan invest 63000, 56000, and 84000 respectively to start a business. After one year, the profit is distributed in the ratio of their investments. If Chandan's share of profit is Tk. 54000, find the total profit earned.

Solution:
Let the total profit = x
The ratio of investment = 63000 : 56000 : 84000
= 63 : 56 : 84
= 9 : 8 : 12
Now, sum of the ratios = 29

Chandan's share = (12/29) × x = 54000
⇒ x = (54000 × 29)/12
x = 130500

Hence, the total profit = Tk. 130500