X and Y invest in business in the ratio 5 : 3. If 8% of the total profit goes to charity and X's share is Tk. 1380, the total profit is:

Question: X and Y invest in business in the ratio 5 : 3. If 8% of the total profit goes to charity and X's share is Tk. 1380, the total profit is:

Solution:
Let the total profit be Tk. 100.
After paying to charity, X's share = (92 × 5/8) = 57.5
If X's share is Tk. 57.5, total profit = 100.
If X's share is Tk. 1380, total profit = (100/57.5 × 1380)
= 2400.
Therefore, the total profit is Tk. 2400.