A invests ₹20,000, while B invests ₹30,000. A receives an additional 20% for management. The total profit is ₹60,000. What is A's…

Question

A invests ₹20,000, while B invests ₹30,000. A receives an additional 20% for management. The total profit is ₹60,000. What is A's share?

1. A. ₹51,200
2. B. ₹41,200
3. C. ₹31,200 (Correct answer)
4. D. ₹21,200

Correct Answer

Option C — ₹31,200

Detailed Solution & Explanation

The correct answer is ₹31,200.

Key Points

• The management allowance is taken off the top, before the remainder is divided by capital:
  • A's management share = 20% of 60,000 = ₹12,000
  • Remaining profit = 60,000 − 12,000 = ₹48,000
• The remainder divides in the capital ratio 20,000 : 30,000 = 2 : 3:
  • A's investment share = 2/5 × 48,000 = ₹19,200
• A's total = 12,000 + 19,200 = ₹31,200.

Additional Information

• The order of operations is what the question tests: applying the 20% to A's own share rather than to the whole profit gives a different and wrong figure.
• B receives 3/5 × 48,000 = ₹28,800, and 31,200 + 28,800 = ₹60,000 ✓ — always check that the shares reconstruct the total.
• A working partner typically receives a salary or commission before division; a sleeping partner contributes capital only and shares strictly in proportion to it.

प्रश्न (हिन्दी में)

A ने ₹20,000 का निवेश किया, जबकि B ने ₹30,000 का निवेश किया। A को प्रबंधन के लिए अतिरिक्त 20% मिलता है। कुल लाभ ₹60,000 है। A का हिस्सा क्या है?

1. A. ₹51,200
2. B. ₹41,200
3. C. ₹31,200
4. D. ₹21,200