Step 1: Understanding the Concept:
The profit-sharing ratio is 5 : 3 : 2 for Sarvesh, Sriniketan, and Srinivas respectively. We are given Sriniketan's actual share and need to calculate Sarvesh's corresponding share based on the same ratio.
Step 2: Key Formula or Approach:
If the total parts are \( 5+3+2 = 10 \), then:
- Sriniketan's share is \( \frac{3}{10} \) of the total profit.
- Sarvesh's share is \( \frac{5}{10} \) of the total profit.
Step 3: Detailed Explanation:
Let the total profit be \( P \).
\[ \frac{3}{10} \times P = 1,50,000 \]
\[ P = 1,50,000 \times \frac{10}{3} = 5,00,000 \]
Now, calculate Sarvesh's share:
\[ \text{Sarvesh's share} = \frac{5}{10} \times 5,00,000 = 2,50,000 \]
Step 4: Final Answer:
Sarvesh's share is 2,50,000.