साधारण ब्याज पर निवेश की गई कोई राशि 2 वर्ष 6 महीने में स्वयं की 17/10 हो जाती है। वार्षिक ब्याज दर ज्ञात कीजिए।

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)
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  1. 22 प्रतिशत
  2. 16 प्रतिशत
  3. 28 प्रतिशत
  4. 34 प्रतिशत

Answer (Detailed Solution Below)

Option 3 : 28 प्रतिशत
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दिया गया है:

साधारण ब्याज पर निवेश की गई कोई राशि 2 वर्ष 6 महीने में स्वयं की 17/10 हो जाती है।

प्रयुक्त अवधारणा:

साधारण ब्याज = (मूलधन × समय × दर)/100

गणना:

मान लीजिए निवेश की गई राशि a है और ब्याज की दर r है

निवेश की अवधि = 2 वर्ष 6 माह = 2.5 वर्ष

इसलिए,

(a × r × 2.5)/100 = ar/40

प्रश्नानुसार,

राशि = (17/10) × निवेश की गई धनराशि

⇒ (ar/40) + a = (17/10) × a

⇒ (r + 40)/40 = 17/10

⇒ r + 40 = 68

⇒ r = 28

इसलिए, दर = 28%

वार्षिक ब्याज दर 28% है।

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