किसी निश्चित राशि पर 10 प्रतिशत वार्षिक दर से 3 वर्षों का चक्रवृद्धि ब्याज 3310 रुपये है। उसी राशि पर समान ब्याज दर से 6 वर्षों का साधारण ब्याज क्या होगा?

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DFCCIL Executive CBT1 Civil 25 Aug 2023 Shift 3 Official Paper
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  1. 7500 रुपये
  2. 7200 रुपये
  3. 6000 रुपये
  4. 6500 रुपये

Answer (Detailed Solution Below)

Option 3 : 6000 रुपये
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Detailed Solution

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दिया गया है:

10% की दर से 3 वर्षों का चक्रवृद्धि ब्याज (CI) = ₹3310

हमें चाहिए: समान मूलधन पर 10% की दर से 6 वर्षों का साधारण ब्याज (SI)

प्रयुक्त सूत्र:

CI = P × [(1 + R/100)t - 1]

SI = (P × R × T) / 100

गणना:

माना, मूलधन = P

⇒ 3310 = P × [(1 + 10/100)3 - 1]

⇒ 3310 = P × [(1.1)3 - 1] = P × [1.331 - 1] = P × 0.331

⇒ P = 3310 / 0.331 = 10000

अब, 10% की दर से 6 वर्षों का SI:

⇒ SI = (10000 × 10 × 6) / 100 = 6000

∴ साधारण ब्याज = ₹6000

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