Multiple choice

A and B started a business in a partnership investing in the ratio of 7 : 9. After 3 months A withdraw2/3 of its investment and 4 months after the begining B withdraw 1/3 of its investment. If a total earned profit is Rs. 10201 at the end of 9 months. What will be the share of each of them ? A तथा B क्रमशः 7 : 9 के अनुपात में पूंजी साझेदारी में निवेश करते हैं। तीन महीने बाद A अपनी पूंजी का 2/3 भाग निकाल लेता है तथा प्रारम्भ से चार माह के बाद B अपनी पूंजी का 1/3 भाग निकाल लेता है। यदि 9 माह के अन्त में कुल 10201 का लाभ हुआ हो, तो उनमें से प्रत्येक का हिस्सा क्या होगा ?

  1. 3535, 6666

  2. 3055, 5555

  3. 4503, 1345

  4. 3545, 3333

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Profit sharing ratio = A's equivalent months : B's equivalent months. A: 7×3 + 7×(1/3)×6 = 21 + 14 = 35. B: 9×4 + 9×(2/3)×5 = 36 + 30 = 66. Ratio = 35:66. Total profit = 10201. A's share = (35/101) × 10201 = 3535. B's share = (66/101) × 10201 = 6666. Check: 3535 + 6666 = 10201. Key point: after withdrawal, remaining investment continues for remaining period.