A and B invest in a business in the ratio 5 : 8. They reinvest 30% of the profit in their business and distribute the remaining profit among themselves. If A got the profit of Rs.87,500/-, then find their total profit?

Rs. 3,25,000

            A    :       B

Profit : 5     :      8 = 13R

Here,

13R is 70% of the total profit.

A's profit = \(\frac{5}{13}\) x \(\frac{70 }{100}\) x Total Profit = 87,500

⇒ \(\frac{7}{26}\) x Total Profit = 87,500

⇒ Total Profit = 3,25,000