A and B invest ₹40,000 and ₹60,000 respectively in a business. What is A's share in a profit of ₹50,000?

Question

A and B invest ₹40,000 and ₹60,000 respectively in a business. What is A's share in a profit of ₹50,000?

1. A. ₹15,000
2. B. ₹20,000 (Correct answer)
3. C. ₹25,000
4. D. ₹30,000

Correct Answer

Option B — ₹20,000

Detailed Solution & Explanation

The correct answer is ₹20,000.

Key Points

• Profit in a partnership is shared in the ratio of the capitals when the durations are equal.
• ₹40,000 : ₹60,000 simplifies to 2 : 3, so A takes 2 of 5 parts.
• A's share $= \tfrac{2}{5} \times 50{,}000 = ₹20{,}000$.

Additional Information

• Simplify the ratio before applying it — 2 : 3 is far less error-prone than 40,000 : 60,000.
• Where partners invest for different periods, the shares go by the capital × time product, not capital alone.
• Check the complement: B receives ₹30,000, and the two shares sum to the full ₹50,000.

प्रश्न (हिन्दी में)

A और B ने एक व्यवसाय में क्रमशः ₹40,000 और ₹60,000 का निवेश किया। ₹50,000 के लाभ में A का हिस्सा क्या है?

1. A. ₹15,000
2. B. ₹20,000
3. C. ₹25,000
4. D. ₹30,000