Question
Download Solution PDFनिश्चित राशि \(2\frac{1}{2}\) वर्षों में 12% प्रति वर्ष चक्रवृद्धि ब्याज की दर से 9,982.50 रुपये हो जाती है, ब्याज 10-मासिक संयोजित है। राशि (रुपये में) क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
मिश्रधन = 9982.5 रुपये
दर = 12%
समय = \(2\frac{1}{2}\) वर्ष
प्रयुक्त अवधारणा:
A = P(1 + r/100)t
यहाँ,
A = मिश्रधन
P = मूलधन या राशि
r = दर
t = समय
जब ब्याज की गणना निश्चित मासिक पर की जाती है
तो,
r = (r/12) × महीने
t = वर्ष के रूप में दिये गए कुल महीने/महीनों की संख्या
गणना:
\(2\frac{1}{2}\) वर्ष = 30 महीने [चूँकि 1 वर्ष = 12 महीने]
इसलिए, t = 30/10 = 3
r = (12/12) × 10 = 10%
माना राशि P है
अब,
9982.5 = P(1 + 10/100)3
⇒ 9982.5 = P(1 + 1/10)3
⇒ 9982.5 = P(11/10)3
⇒ 9982.5 = 1331P/1000
⇒ P = 9982.5 × (1000/1331)
⇒ P = 7500
इसलिए, राशि = 7500 रुपये
∴ राशि (रुपये में) 7500 है।
Last updated on Jun 12, 2025
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