A, B and C are three partners in a business. A receives \(\frac{5}{9}\)th part of the total profit and remaining profit is distributed between B and C equally. If profit return will increase from 8% to 13%, then profit of A increase by Rs.750. Find the total profit of B & C.

12000

Let the total profit = Rs.900   (so that \(\frac{5}{9}\) can be calculated easily)

Ratio of profit⇒ A : B : C = 500 : 200 : 200

Now, profit return increased by= 13% - 8% = 5%

So, A's profit increased by = 500 × 5 % = 25

ATQ, 25R = 750

1R = 30

Total profit of B and C = 400R = 400 × 30 = 12000/-