Ravi and Kavi invest Rs. 8,000 and Rs. 72,000 respectively in a business. What is the ratio of their profits at the end of one year?

Introduction / Context: With equal time periods, profit ratio equals capital ratio. We simply reduce 8,000 : 72,000 to the simplest form to find the profit ratio between Ravi and Kavi.

Given Data / Assumptions:

• Ravi invests Rs. 8,000.
• Kavi invests Rs. 72,000.
• Time period is the same for both partners.

Concept / Approach: Profit ratio = capital ratio when time is equal. Reduce 8,000 : 72,000 by their greatest common divisor.

Step-by-Step Solution: 8,000 : 72,000 = 8 : 72 = 1 : 9. Thus, Ravi : Kavi = 1 : 9.

Verification / Alternative check: If total profit were P, Ravi gets P/10 and Kavi gets 9P/10, maintaining the 1 : 9 ratio.

Why Other Options Are Wrong: 2 : 9, 5 : 9, and 7 : 9 do not reduce from 8,000 : 72,000.

Common Pitfalls: Forgetting to reduce the ratio completely or mistakenly adding capitals instead of comparing them.

Final Answer: 1 : 9