A and B invest in a business in the ratio 4 : 5 . They reinvest 30% of the profit in their business and distribute the remaining profit among themselves. If A got the profit of Rs.72,800/-, then find their total profit?

2,34,000

            A    :       B

Profit :  4    :      5     = 9R

Here,

9R is 70% of the total profit.

A's profit = \(\frac{4}{9}\) x \(\frac{70 }{100}\) x Total Profit = 72,800

⇒ \(\frac{28}{90}\) x Total Profit = 72800

⇒ Total Profit = 2,34,000