Tina and Meera started a business with ₹1,00,000 and ₹80,000 respectively. After 6 months, Meera added ₹40,000 more. Tina withdre…

Question

Tina and Meera started a business with ₹1,00,000 and ₹80,000 respectively. After 6 months, Meera added ₹40,000 more. Tina withdrew ₹20,000 at the same time. What is the profit-sharing ratio at the end of 1 year?

1. A. 9 : 10 (Correct answer)
2. B. 5 : 6
3. C. 7 : 4
4. D. 2 : 3

Correct Answer

Option A — 9 : 10

Detailed Solution & Explanation

The correct answer is 9 : 10.

Key Points

• Capital changes at six months, so compute capital × time in two halves:
  • Tina: 1,00,000 × 6 + 80,000 × 6 = 6,00,000 + 4,80,000 = 10,80,000
  • Meera: 80,000 × 6 + 1,20,000 × 6 = 4,80,000 + 7,20,000 = 12,00,000
• Ratio = 10,80,000 : 12,00,000 = 1,080 : 1,200 = 9 : 10.

Additional Information

• Read the two changes carefully: Meera added ₹40,000 (80,000 → 1,20,000) while Tina withdrew ₹20,000 (1,00,000 → 80,000), so the pair effectively swap positions at the halfway mark.
• The general method for any number of changes is to break the year into intervals of constant capital, compute capital × months for each, and add.
• Dividing both totals by 1,20,000 gives 9 : 10 directly — cancelling common factors early keeps these calculations manageable.

प्रश्न (हिन्दी में)

टीना और मीरा ने क्रमशः ₹1,00,000 और ₹80,000 के साथ एक व्यवसाय शुरू किया। 6 महीने बाद, मीरा ने ₹40,000 और जोड़े। टीना ने उसी समय ₹20,000 निकाल लिए। 1 वर्ष के अंत में लाभ-साझाकरण अनुपात क्या है?

1. A. 9 : 10
2. B. 5 : 6
3. C. 7 : 4
4. D. 2 : 3