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Identify the given ratio and total profit.

Business/Management

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Step-by-step solution

5 steps

  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.

  2. Calculate the sum of the ratio parts.

    Sum of ratio parts =2+3+5=10= 2 + 3 + 5 = 10.

  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:

    C’s Share=(C’s ratio partSum of ratio parts)×Total Profit\text{C's Share} = \left( \frac{\text{C's ratio part}}{\text{Sum of ratio parts}} \right) \times \text{Total Profit} C’s Share=(510)×50,000\text{C's Share} = \left( \frac{5}{10} \right) \times 50,000

  4. Perform the calculation.

    C’s Share=12×50,000\text{C's Share} = \frac{1}{2} \times 50,000 C’s Share=25,000\text{C's Share} = 25,000

    So, C's share of the profit is Rs. 25,000.

  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 C\boxed{\text{C}}

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