A, B and C are three partners in a business. A receives \(\frac{3}{7}\)th part of the total profit and remaining profit is distributed between B and C equally. If profit return will increase from 7% to 12%, then profit of A increase by Rs.450. Find the total profit of B & C.

Rs. 12000

Let the total profit = Rs. 700   (so that \(\frac{3}{7}\) can be calculated easily)

Ratio of profit⇒ A : B : C = 300 : 200 : 200

Now, profit return increased by= 12 - 7 = 5%

So, A's profit increased by = 300 × 5 % = 15

ATQ, 15R = 450

1R = 30

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