Question
Download Solution PDFचक्रवृद्धि 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया 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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