Question

Sarvesh, Sriniketan and Srinivas are partners in the ratio of 5 : 3 : 2. If Sriniketan’s share of profit at the end of the year amounted to ₹ 1,50,000, what will be Sarvesh’s share of profits?

• A. ₹ 5,00,000.
• B. ₹ 1,50,000.
• C. ₹ 3,00,000.
• D. ₹ 2,50,000.

Hint:

To find a partner's share quickly: $(\text{Known Share} \div \text{Known Ratio Part}) \times \text{Target Ratio Part}$. For this problem: $(1,50,000 \div 3) \times 5 = 2,50,000$.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
The Profit Sharing Ratio (PSR) determines how the total divisible profit is distributed among partners. If we know the share of one partner and the overall ratio, we can calculate the shares of all other partners.
Step 2: Key Formula or Approach:
Ratio: Sarvesh : Sriniketan : Srinivas = \( 5 : 3 : 2 \)
Total parts in ratio = \( 5 + 3 + 2 = 10 \)
We can find the value represented by one "part" of the ratio and then multiply it by Sarvesh's portion.
Step 3: Detailed Explanation:
1. Given: Sriniketan's share of profit = 1,50,000.
2. Sriniketan's proportion in the ratio = 3 parts.
3. Calculate the value of 1 part:
\[ \text{Value of 1 part} = \frac{1,50,000}{3} = 50,000 \]
4. Sarvesh's proportion in the ratio = 5 parts.
5. Calculate Sarvesh's share:
\[ \text{Sarvesh's Share} = 5 \text{ parts} \times 50,000 = 2,50,000 \]
Step 4: Final Answer:
Sarvesh's share of profits is 2,50,000.
Therefore, the correct option is (d).