निखिल आणि नेहा यांनी 5 ∶ 4 या प्रमाणात भांडवल गुंतवले. नेहाने जितके पैसे गुंतवले ते निखिलने केलेल्या गुंतवणुकीपेक्षा एक वर्ष जास्त होते. त्यांच्या नफ्याचे गुणोत्तर 6 ∶ 5 असे आहे. नेहाने किती वेळ गुंतवला ते शोधा.

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SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 21 March, 2023 Shift 1)
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  1. 26 वर्षे
  2. 23 वर्षे
  3. 21 वर्षे
  4. 25 वर्षे

Answer (Detailed Solution Below)

Option 4 : 25 वर्षे
Free
SSC CHSL General Intelligence Sectional Test 1
25 Qs. 50 Marks 18 Mins

Detailed Solution

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दिलेल्याप्रमाणे:

निखिल आणि नेहा यांचे भांडवल गुणोत्तर = 5 ∶ 4

नफ्याचे प्रमाण = 6 ∶ 5

संकल्पना:

नफा वितरणाचे सूत्र (भांडवल × वेळ) आहे.

गणना:

निखिलने गुंतवलेला वेळ T असू द्या, तर नेहाने गुंतवलेला वेळ (T+1) आहे.

⇒ 5T/4(T+1) = 6/5

⇒ 25T = 24T + 24

⇒ हे समीकरण सोडवल्यानंतर T = 24.

म्हणून, नेहाने (T + 1) = 24 + 1 = 25 वर्षांसाठी पैसे गुंतवले.

∴ पर्याय 4 हे योग्य उत्तर आहे.

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