In a business with C, A and B invest ₹50,000 and ₹60,000, respectively. The profit of C is double the profit of B. If the total profit is ₹23,000, then the profit of A (in ₹) is:

Given:

Investment of A = ₹50,000

Investment of B = ₹60,000

The profit of C = 2 × Profit of B

Total profit = ₹23,000

Formula Used:

The ratio of profits is proportional to the investment amounts.

Total profit = Profit of A + Profit of B + Profit of C

Calculation:

Let the profit of A be P_A, profit of B be P_B, and profit of C be P_C.

P_C = 2 × P_B

The ratio of investments (A : B) = 50,000 : 60,000 = 5 : 6

The ratio of profits (A : B : C) = 5 : 6 : 12 (since C = 2B)

Total ratio = 5 + 6 + 12 = 23

1 unit of profit = Total profit / Total ratio = ₹23,000 / 23

1 unit of profit = ₹1,000

P_A = 5 units = 5 × ₹1,000

P_A = ₹5,000

The profit of A is ₹5,000.