A and B invest in a business in the ratio 8 : 9 . They reinvest 40% of the profit in their business and distribute the remaining profit among themselves. If B got the profit of Rs.2160/-, then find their total profit?

6800

            A    :       B

Profit :  8    :      9     = 17R

Here,

17R is 60% of the total profit.

B's profit = \(\frac{9}{17}\) x \(\frac{60 }{100}\) x Total Profit = 2160

⇒ \(\frac{9× 3}{17×5}\) x Total Profit = 2160

⇒ Total Profit = 6800