कितने समय में ₹10,000 पर 4% प्रति वर्ष की साधारण ब्याज दर पर उतना ही ब्याज मिलेगा जितना ₹8,000 पर 4 वर्षों में 5% साधारण ब्याज पर मिलता है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 1)
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  1. 5 वर्ष
  2. 3 वर्ष
  3. 4 वर्ष
  4. 6 वर्ष

Answer (Detailed Solution Below)

Option 3 : 4 वर्ष
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दिया गया है

एक व्यक्ति साधारण ब्याज पर निवेश करता है = 10000 रुपये 

एक व्यक्ति साधारण ब्याज पर निवेश करता है = 8,000 रुपये 

ब्याज दर = 4%

ब्याज दर = 5%

समय = t वर्ष

समय = 4 वर्ष

प्रयुक्त सूत्र 

साधारण ब्याज = मूलधन × समय × दर/100

मिश्रधन = मूलधन(1 - दर/100)2

गणना

पहली और दूसरी राशि के लिए ब्याज दर क्रमशः 4% और 5% प्रति वर्ष है।

(10000 × 4 × t) / 100 = ((8000) × 4 × 5) / 100

⇒ 40t = 160

⇒ t = 160/40

⇒ t = 4

t का मान (प्रतिशत में) 4 वर्ष है।

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