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

Concept: The profit-sharing ratio determines how the total divisible profit is distributed among partners. If the share of one partner is known, the total profit or the share of any other partner can be calculated based on their respective proportions in the ratio.

Step 1: Identify the given ratio and values.
* Profit Sharing Ratio (Sarvesh : Sriniketan : Srinivas): 5 : 3 : 2. * Sriniketan's Share of Profit: ₹ 1,50,000. * Sriniketan's Proportion in Ratio: 3 parts out of 10 ($5+3+2=10$).

Step 2: Calculate the value of one part of the ratio.
Since 3 parts equal ₹ 1,50,000: \[ \text{Value of 1 part} = \frac{1,50,000}{3} = ₹ 50,000 \]

Step 3: Calculate Sarvesh's share of profits.
Sarvesh’s proportion in the ratio is 5 parts: \[ \text{Sarvesh's Share} = 5 \text{ parts} \times ₹ 50,000 \] \[ \text{Sarvesh's Share} = ₹ 2,50,000 \]