The contributions made by Rasel and Akash are in the ratio of 6 : 4. If 10% of the total profit is donated and Rasel gets 9000 as his share of profit, what is the total profit?

Question: The contributions made by Rasel and Akash are in the ratio of 6 : 4. If 10% of the total profit is donated and Rasel gets 9000 as his share of profit, what is the total profit?

Solution:
Let,
the total profit after donated = p
The ratio of contribution by Rasel and Akash = 6 : 4
sum of ratios = 10

Rasel's share = (6/10) × p = 9000
⇒ p = (10 × 9000)/6
∴ p = 15000
so, total profit after donated = 15000

ATQ,
Rasel gets 9000 after 10% donated
Now,
90% = 15000
1% = 15000/90
And, 100% = (15000 × 100)/90 = 16,666.66