Question
Download Solution PDF40,000 रुपयेच्या रकमेवर 2 वर्षात जमा झालेले चक्रवाढ व्याज आणि सरळ व्याज यातील फरक 324 रुपये होता.तर वार्षिक व्याज दर किती होता?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:-
CI - SI = 324
मुद्दल = 40000
मुदत = 2 वर्ष
वापरलेले सूत्र:-
चक्रवाढ व्याज = रक्कम - मुद्दल
CI = P[(1 + R/100)n - 1]
सरळ व्याज = (P × R × T)/100
गणना:-
प्रश्नानुसार-
⇒ P[(1 + R/100)n - 1] - (P × R × T)/100 = 324
⇒ 40000 [(1 + R/100)2 - 1] - (40000 × R × 2)/100 = 324
⇒ 40000 [{(100 + R)2/1002 - 1} - {R × 2}/100 = 324
⇒ 400 [{1002 + R2 + 2 × 100 × R -1002}/100 - 2R] = 324
⇒ [{R2 + 200R}/100 - 2R] = 324/400
⇒ (R2 + 200R - 200R)/100 = 324/400
⇒ R2 = 32400/400
⇒ R2 = 81
⇒ R = 9%
∴ वार्षिक व्याज दर 9% आहे.
Shortcut Trickवापरलेले सूत्र:-
CI - SI मधील 2 वर्षांचा फरक,
⇒ D = P(R/100)2
येथे,
D = फरक
P = मुद्दल
R = व्याजदर
गणना:-
⇒ 324 = 40000(R/100)2
⇒ R2 × 40000 = 3240000
⇒ R2 = 81
⇒ R = 9%
∴आवश्यक व्याज दर 9% आहे.
Last updated on Jun 12, 2025
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