20 प्रतिशत वार्षिक दर से 2 वर्षों के लिए किसी धनराशि पर चक्रवृद्धि ब्याज ₹2860 है। वह धनराशि क्या है?

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DFCCIL Executive CBT1 Electrical 25 Aug 2023 Shift 2 Official Paper
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  1. ₹6500
  2. ₹6000
  3. ₹7500
  4. ₹7000

Answer (Detailed Solution Below)

Option 1 : ₹6500
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दिया गया है:

चक्रवृद्धि ब्याज (CI) = ₹2860

समय (t) = 2 वर्ष

दर (r) = 20% प्रति वर्ष

प्रयुक्त सूत्र:

CI = P(1 + r/100)t - P

जहाँ, P = मूलधन

गणना:

2860 = P(1 + 20/100)2 - P

⇒ 2860 = P(1.2)2 - P

⇒ 2860 = P(1.44 - 1)

⇒ 2860 = P(0.44)

⇒ P = 2860 / 0.44

⇒ P = 6500

∴ सही उत्तर विकल्प (1) है।

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