800 रुपये पर 6 वर्ष के लिए 5.5% प्रति वर्ष की दर से साधारण ब्याज, एक निश्चित अवधि के लिए 600 रुपये पर 4% प्रति वर्ष की दर से साधारण ब्याज के बराबर है। समयावधि ज्ञात कीजिए:

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 2)
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  1. 11 वर्ष
  2. 9 वर्ष
  3. 12 वर्ष
  4. 10 वर्ष

Answer (Detailed Solution Below)

Option 1 : 11 वर्ष
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दिया गया है

एक व्यक्ति साधारण ब्याज पर निवेश करता है = 800 रुपये

एक व्यक्ति साधारण ब्याज पर निवेश करता है = 600 रुपये

ब्याज दर = 5.5%

ब्याज दर = 4%

समय = 6 वर्ष

समय = t वर्ष

प्रयुक्त सूत्र:

साधारण ब्याज = मूलधन × समय × दर/100

मिश्रधन = मूलधन(1 - दर/100)2

गणना

पहले और दूसरे मूलधन के लिए ब्याज दर क्रमशः 4% और 5% प्रति वर्ष है।

(800 × 5.5 × 6) / 100 = ((600) × 4 × t) / 100

⇒ 24t = 264

⇒ t = 264/24

⇒ t = 11

t का मान (वर्ष में) 11 वर्ष है।

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