20% वार्षिक दर से, चक्रवृद्धि ब्याज पर एक राशि लगभग ______ वर्षों में दोगुनी हो जाती है।

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RPF Constable 2024 Official Paper (Held On 05 Mar, 2025 Shift 3)
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  1. 2
  2. 5
  3. 4
  4. 3

Answer (Detailed Solution Below)

Option 3 : 4
Free
RPF Constable Full Test 1
120 Qs. 120 Marks 90 Mins

Detailed Solution

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दिया गया:

दर (r) = 20% प्रति वर्ष

राशि दोगुनी हो जाती है ⇒ A = 2P

प्रयुक्त सूत्र:

A = P(1 + r/100)t

गणना:

⇒ 2P = P(1 + 20/100)t

⇒ 2 = (1.2)t

अब, दोनों पक्षों का लघुगणक लें:

⇒ log(2) = t × log(1.2)

⇒ t = log(2) ÷ log(1.2)

⇒ t = 0.3010 ÷ 0.0792

⇒ t ≈ 3.8 वर्ष

∴ राशि लगभग 4 वर्षों में दोगुनी हो जाती है।

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