A and B contribute to a business investment in the ratio 3:5. They earn a profit of ₹64,000. A is a working partner and receives…

Question

A and B contribute to a business investment in the ratio 3:5. They earn a profit of ₹64,000. A is a working partner and receives 10% of the profit extra. What is A's total share?

1. A. ₹26,500
2. B. ₹28,000 (Correct answer)
3. C. ₹38,500
4. D. ₹36,000

Correct Answer

Option B — ₹28,000

Detailed Solution & Explanation

The correct answer is ₹28,000.

Key Points

• Deal with the working-partner allowance before dividing the remainder.
• A's extra $= 10\%$ of ₹64,000 $= ₹6{,}400$, leaving ₹57,600 to be shared in 3 : 5.
• A's share of the remainder $= \tfrac{3}{8} \times 57{,}600 = ₹21{,}600$.
• A's total $= 21{,}600 + 6{,}400 = ₹28{,}000$.

Additional Information

• The order matters: taking 10% out first and then splitting is not the same as splitting first and adding 10% of A's share.
• B receives $\tfrac{5}{8} \times 57{,}600 = ₹36{,}000$, and 28,000 + 36,000 = ₹64,000 — the check that confirms the split.
• Salaries, commissions and interest on capital are all handled the same way: settle them first, then divide what remains in the profit-sharing ratio.

प्रश्न (हिन्दी में)

A और B किसी व्यवसाय में 3:5 के अनुपात में निवेश करते हैं। वे ₹64,000 का लाभ कमाते हैं। A एक कार्यकारी भागीदार है और उसे लाभ का 10% अतिरिक्त मिलता है। A का कुल हिस्सा क्या है?

1. A. ₹26,500
2. B. ₹28,000
3. C. ₹38,500
4. D. ₹36,000