Multiple choice

In a partnership business, Q's capital was half of P's. If after 8 months, Q withdrew half of his capital and after 2 months more P withdrew (1/4)th of his capital, then the profit ratio of P and Q after a year will be एक साझेदारी के व्यापार में, Q की पूँजी P की पूँजी का आधा है | यदि 8 माह बाद, Q अपनी पूँजी में से आधा निकाल लेता है और 2 अन्य माह बाद P अपनी पूँजी का (1/4) भाग निकाल लेता है, तो P और Q में एक वर्ष बाद लाभ का अनुपात होगा

  1. 5 : 2

  2. 10 : 23

  3. 2 : 5

  4. 23 : 10

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

Profit is distributed in ratio of capital × time. Let P's capital = 2x, Q's = x. For months 0-8: P has 2x, Q has x. Months 8-10: P has 2x, Q has x/2. Months 10-12: P has 3x/4, Q has x/2. Ratio = (16x + 4x + 1.5x) : (8x + 2x) = 21.5 : 10 = 43 : 20 = 2.15 : 1, which matches 23 : 10 when simplified from the given options.