एक राशि पर प्राप्त साधारण ब्याज राशि का 25/36 है। वर्षों की संख्या वार्षिक ब्याज दर के बराबर है। वार्षिक ब्याज दर क्या है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 1)
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  1. 9.25 प्रतिशत
  2. 10.25 प्रतिशत
  3. 6.62 प्रतिशत
  4. 8.33 प्रतिशत

Answer (Detailed Solution Below)

Option 4 : 8.33 प्रतिशत
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दिया गया:

एक राशि पर प्राप्त साधारण ब्याज राशि का 25/36 है।

वर्षों की संख्या वार्षिक ब्याज दर के बराबर है

प्रयुक्त सूत्र:

SI = (P × R × T)/100

गणना:

माना योग मान x है, तो SI होगा:

SI = (x × R × T)/100

⇒ (25/36)x = (x × R2)/100

⇒ 25/36 = R2/100

दोनों पक्षों को चौकोर करना,

⇒ 5/6 = R/10

⇒ R = 0.833 × 10 = 8.33%

∴ वार्षिक ब्याज दर 8.33% है।

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