Multiple choice

A and B enter into a partnership and their shares are in the ratio of 1 2 : 1 3 . After 4 months A withdraws half of his capital and after 8 months more, a profit of Rs. 500 is divided. What is A's share of profit ? A और B एक साझेदारी करते हैं जिसमें उनके भाग 1 2 : 1 3 के अनुपात में है। 4 महीने बाद A अपनी पूँजी का आधा भाग निकाल लेता है और आगे 8 महीने बाद लाभ रू. 500 को बांटा गया, लाभ में A का भाग क्या होगा ?

  1. Rs.250

  2. Rs.300

  3. Rs.225

  4. Rs.175
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A Correct answer
Explanation

Converting ratios to common denominator: A:B = 1/2:1/3 = 3:2. Let A invest 3k and B invest 2k. A's capital is active for 4 months at full amount, then at half (1.5k) for remaining 8 months. Total A = 4×3k + 8×1.5k = 12k + 12k = 24k. Total B = 12×2k = 24k. Profit ratio A:B = 24:24 = 1:1. A's share = 500/2 = 250. Options B, C, and D don't match this calculation.

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