Question
Download Solution PDF8000 रुपयांच्या रकमेवरील \(2\frac{2}{5}\) वर्षांसाठी 10% दराने सरळ व्याज आणि चक्रवाढ व्याज यामध्ये (रुपयांमध्ये) किती फरक आहे? जेव्हा व्याज वार्षिक चक्रवाढ होते?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
मुद्दल = 8000 रुपये
दर = 10%
मुदत = \(2\frac{2}{5}\) वर्षे
वापरलेले सूत्र:
SI = (P × t × r)/100
CI = P(1 + r/100) t - P
P = मुद्दल
t = मुदत
r = दर
गणना:
SI = (8000 × 12 × 10)/(100 × 5)
⇒ 1920 रुपये
CI = 8000[1 + 10/100] 2 × [1 + 4/100] - 8000
⇒ 8000 × 11/10 × 11/10 × 26/25 - 8000
⇒ 10067.2 - 8000
⇒ 2067.2
फरक = 2067.2 - 1920 = 147.2
∴ आवश्यक फरक 147.2 रुपये आहे.
Shortcut Trick
तर, CI आणि SI मधील फरक = 80 + 32 + 32 + 3.2
∴ CI आणि SI मधील फरक = 147.2.
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