A and B invest in a business in the ratio 6 : 4. If 10% of the total profit goes to charity and A's share is Tk. 378, what is the total profit?

Question: A and B invest in a business in the ratio 6 : 4. If 10% of the total profit goes to charity and A's share is Tk. 378, what is the total profit?

Solution:
Let,
The total profit be Tk. 100.
After paying 10% to charity,
A's share = 90 × (6/10) = Tk. 54

If A's share is Tk. 54, total profit = Tk. 100.
If A's share is Tk. 1, total profit = Tk. 100/54
∴ If A's share is Tk. 378, total profit = Tk. (100 × 378)/54
= Tk. 700