यदि चक्रवृद्धि ब्याज वार्षिक रूप से संयोजित किया जाता है, तो 2 वर्षों में ₹4,800 की राशि ₹5,043 हो जाती है, तो प्रति वर्ष ब्याज दर कितनी है?

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RPF Constable 2024 Official Paper (Held On: 02 Mar, 2025 Shift 1)
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  1. 3%
  2. 2.0%
  3. 2.5%
  4. 5%

Answer (Detailed Solution Below)

Option 3 : 2.5%
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Detailed Solution

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दिया गया है:

मूलधन = ₹4800

मिश्रधन = ₹5043

समय = 2 वर्ष

प्रयुक्त सूत्र:

A = P(1 + r/100)t

गणना:

प्रश्न के अनुसार

A = P(1 + r/100)t

⇒ 5043 = 4800 × (1 + r/100)2

⇒ (1 + r/100)2 = (5043/4800)

⇒ (1 + r/100)2 = (1681/1600)

⇒ (1 + r/100)2 = (41/40)2

⇒ (100 + r)/100 = 41/40

⇒ (100 + r)/5 = 41/2

⇒ 200 + 2r = 205

⇒ 2r = (205 – 200)

⇒ 2r = 5

⇒ r = 2.5%

∴ सही उत्तर विकल्प (3) है।

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