चक्रवृद्धि ब्याज पर निवेश की गई एक राशि 3 वर्षों में 7,800 रुपये और 5 वर्षों में 11,232 रुपये हो जाती है। ब्याज दर प्रतिशत क्या है?

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SSC CGL 2021 Tier-I (Held On : 11 April 2022 Shift 2)
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  1. 20%
  2. 26%
  3. 18%
  4. 15%

Answer (Detailed Solution Below)

Option 1 : 20%
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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दिया गया है:

राशि 3 वर्षों में 7,800 रुपये और 5 वर्षों में 11,232 रुपये हो जाती है।

प्रयुक्त सूत्र:

चक्रवृद्धि ब्याज पर, मिश्रधन \(P\left(1+\frac{r}{100} \right)^{n}\)

जहाँ, P = मूलधन 

r = ब्याज की दर

n = समय (वर्षों में)

गणना:

यहाँ, 7800 रुपये दो वर्ष में चक्रवृद्धि ब्याज पर 11232 रुपये हो जाते हैं।

माना, ब्याज की दर = R

इसलिए, 11232 = \(7800\left(1+\frac{R}{100} \right)^2\)

⇒ [(100 + R)/100]2 = 11232/7800

⇒ [(100 + R)/100]2 = 144/100

⇒ [(100 + R)/100]2 = (12/10)2

⇒ [(100 + R)/100] = (12/10)

⇒ 100 + R = 1200/10 = 120

⇒ R = 120 - 100 = 20

∴ ब्याज दर 20% है। 

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