A आणि B चा संयुक्त व्यवसाय होता ज्यामध्ये A ने एका वर्षासाठी व्यवसायात 60,000 रुपये गुंतवले. 3 महिन्यांनंतर B ने 80,000 रुपये गुंतवले. दुसऱ्या वर्षाच्या सुरुवातीला, A ने 30,000 रुपये अधिक गुंतवले आणि B ने 5,000 रुपये काढले. दोन वर्षांच्या शेवटी, A ने कमावलेला नफा  35,880 रुपये आहे. एकूण नफ्यापैकी अर्धा भाग समान प्रमाणात आणि उर्वरित भांडवलाच्या प्रमाणात वाटून घेतल्यास, B ने मिळवलेला नफा (रुपयांमध्ये) किती आहे?

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SSC CGL 2021 Tier-I (Held On : 19 April 2022 Shift 2)
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  1. 69,920
  2. 38,060
  3. 34,040
  4. 58,940

Answer (Detailed Solution Below)

Option 3 : 34,040
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गणना:

A द्वारे गुंतवलेले एकूण रक्कम = 60,000 × 12 + 90,000 × 12 = 720,000 + 1,080,000 = 1,800,000 रुपये

B ने गुंतवलेले एकूण रक्कम = 80,000 × 9 + 75,000 × 12 = 720,000 + 900,000 = 1,620,000 रुपये

गुणोत्तर = 1,800,000 : 1,620,000 = 10 : 9

कमावलेला एकूण नफा 4p आहे

आता, 4p नफ्यांपैकी 2p हे A आणि B मध्ये समान रीतीने विभागले गेले आहेत.

A चा नफा-

⇒ p + \(10 \over 19\) × 2p = 35,880

⇒ 39p = 35,880 × 19

⇒ p = 35,880 × \(19\over 39\) = 17,480 रुपये

आता, B ने कमावलेला नफा = p + \(9 \over 19\) × 2p  = \(37p\over 19\) = \(37\over 19\) × 17,480

B चा नफा = 34,040 रुपये.

B ने मिळवलेला नफा 34,040 रुपये आहे

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