साधारण ब्याज की दर पर 6 वर्ष में एक धनराशि 3/5 गुना अधिक हो जाती है। उसी दर पर 3 वर्ष के बाद 12000 रुपये का चक्रवृद्धि ब्याज क्या होगा?

This question was previously asked in
MP Police Constable 2023 Official Paper (Held On: 02 Sept, 2023 Shift 2)
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  1. 3972 रुपये
  2. 3792 रुपये
  3. 3960 रुपये
  4. 4320 रुपये

Answer (Detailed Solution Below)

Option 1 : 3972 रुपये
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दिया गया:

6 वर्षों में, राशि 3/5 गुना अधिक हो जाती है ⇒ ब्याज = मूलधन का 3/5

माना कि मूलधन = P ⇒ साधारण ब्याज = (3/5)P

समय = 6 वर्ष

हमें समान दर पर ₹12,000 पर 3 वर्षों के लिए चक्रवृद्धि ब्याज ज्ञात करना है

प्रयुक्त सूत्र:

साधारण ब्याज: साधारण ब्याज = (P × R × T) ÷ 100

चक्रवृद्धि ब्याज: A = P\((1 + \frac{r}{100})^t\)

चक्रवृद्धि ब्याज = A - P

गणना:

साधारण ब्याज = (3/5)P = (P × R × 6) ÷ 100

⇒ (3/5)P = (6PR) ÷ 100

⇒ दोनों पक्षों को 100 से गुणा करें: 60P = 6PR ⇒ R = 10%

अब 10% पर 3 वर्षों के लिए ₹12,000 पर चक्रवृद्धि ब्याज के लिए:

A = 12000 × (1 + 10/100)3 = 12000 × (1.1)3 = 12000 × 1.331 = ₹15,972

चक्रवृद्धि ब्याज = 15972 - 12000 = ₹3,972

∴ चक्रवृद्धि ब्याज = ₹3,972

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