Step 1: Identify the given ratio and total profit. The investment ratio of A, B, and C is $2:3:5$. The total profit at the end of the year is Rs. $50,000$. Step 2: Calculate the sum of the ratio parts. Sum of ratio parts $= 2 + 3 + 5 = 10$. Step 3: Determine C's share of the profit. C's share in the ratio is $5$. To find C's share of the total profit, we use the formula: $$ \text{C's Share} = \left( \frac{\text{C's ratio part}}{\text{Sum of ratio parts}} \right) \times \text{Total Profit} $$ $$ \text{C's Share} = \left( \frac{5}{10} \right) \times 50,000 $$ Step 4: Perform the calculation. $$ \text{C's Share} = \frac{1}{2} \times 50,000 $$ $$ \text{C's Share} = 25,000 $$ So, C's share of the profit is Rs. $25,000$. Step 5: Compare the result with the given options. A. 15,000 रुपये B. 20,000 रुपये C. 25,000 रुपये D. 30,000 रुपये The calculated share matches option C. The final answer is $\boxed{\text{C}}$