A and B invest in a business in the ratio 5 : 7 . They reinvest 20% of the profit in their business and distribute the remaining profit among themselves. If A got the profit of Rs.3400/-, then find their total profit?

10,200

            A    :       B

Profit :  5    :      7     = 12R

Here,

12R is 80% of the total profit.

A's profit = \(\frac{5}{12}\) x \(\frac{80 }{100}\) x Total Profit = 3400

⇒ \(\frac{1}{3}\) x Total Profit = 3400

⇒ Total Profit = 10,200