Multiple choice

In a partnersip A invest Rs. 42000 and B invest Rs. 30000 and start a business. After 9 months A left and C joined at place of him with an investment of Rs. 60000. If at the end of 15 month they got a profit of Rs. 72600. Then find the difference of share of B and C. एक साझेदारी में A ने 42000 रूपये तथा B ने 30000 रूपये निवेश के साथ व्यापार प्रारम्भ किया, 9 माह बाद A व्यापार छोड़कर चला गया तथा उसके स्थान पर C, 60000 रूपये निवेश के साथ सम्मिलित हो गया । यदि 15 माह पश्चात उन्हे 72600 रूपये का लाभ हुआ तो B तथा C के हिस्से का अन्तर ज्ञात कीजिये ।

  1. 5500 Rs/रुपये

  2. 4400 Rs/रुपये

  3. 5000 Rs/रुपये

  4. 6000 Rs/रुपये

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A Correct answer
Explanation

Calculate investment × time: A = 42000×9 = 378000; B = 30000×15 = 450000; C = 60000×6 = 360000 (joined after 9 months). Ratio = 378:450:360 = 21:25:20. Total profit 72600 divided in this ratio: B gets (25/66)×72600 = 27500; C gets (20/66)×72600 = 22000. Difference = 27500 - 22000 = 5500. Partnership profits are distributed based on capital × time, not just capital amount.