Three entrepreneurs, A, B, and C, launched a joint venture with capital contributions of ₹50,000, ₹75,000, and ₹1,25,000, respectively. At the conclusion of the financial year, the venture registered a net profit of ₹50,000. What amount should B receive as their share of the profit?

The correct answer is ₹15,000.

Step 1: Understand the principle of profit sharing
In a joint venture or business partnership where all partners invest for the same period of time, the total net profit is distributed among the partners in direct proportion to their capital contributions.

Step 2: Determine the ratio of capital contributions
The initial contributions of entrepreneurs A, B, and C are ₹50,000, ₹75,000, and ₹1,25,000, respectively.
We find the simplified ratio of their investments by dividing each contribution by 25,000:

$\text{Ratio of A : B : C}=\mathrm{50,000}:\mathrm{75,000}:\mathrm{1,25,000}$

$\text{Ratio of A : B : C}=2:3:5$

Step 3: Calculate the total ratio parts
To divide the total profit according to this ratio, sum the individual ratio parts:

$\text{Total parts}=2+3+5=10$

Step 4: Compute B's share of the net profit
The total profit recorded at the conclusion of the financial year is ₹50,000.
B's share corresponds to 3 parts out of the total 10 parts:

$\text{B's share}=\left(\frac{3}{10}\right)\times \text{₹50,000}$

$\text{B's share}=3\times \text{₹5,000}=\text{₹15,000}$

Thus, entrepreneur B should receive ₹15,000 as their share of the profit.