A and B invest in a business in the ratio 4 : 5. If 10% of the total profit goes to charity and A's share is Tk. 1080, the total profit is:

Question: A and B invest in a business in the ratio 4 : 5. If 10% of the total profit goes to charity and A's share is Tk. 1080, the total profit is:

Solution:
Given that,
A and B invest in the ratio 4 : 5.

Total ratio = 4 + 5 = 9
A’s share = 4 parts

Given,
A’s share = Tk. 1080
∴ 4 parts = Tk. 1080
∴ 1 part = 1080/4
= Tk. 270

∴ total distributed profit
= 9 parts
= 270 × 9
= Tk. 2430

Now,
10% of the total profit goes to charity.
So, A and B receive only 90% of the total profit.

Therefore,
90% of total profit = Tk. 2430
∴ Total profit = 2430 × (100/90)
= 2700

∴ The total profit is Tk. 2700.