Question
Download Solution PDFसरळ व्याज आणि चक्रवाढ व्याज (व्याज हे सहामाही चक्रवाढ आहे) मधील फरक एका वर्षासाठी 25% वार्षिक दराने ₹ 4375 आहे. मुद्दल काय असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
सरळ व्याज आणि चक्रवाढ व्याज (व्याज हे सहामाही चक्रवाढ आहे) मधील फरक एका वर्षासाठी 25% वार्षिक दराने ₹ 4375 आहे.
वापरलेले सूत्र:
सरळ व्याज = (P x N x R)/100
चक्रवाढ व्याज = [P(1 + (r/200))T] - P (सहामाही चक्रवाढ व्याजासाठी)
गणना:
P म्हणजे मुद्दल आहे असे मानू,
सरळ व्याज (SI) = (P x 1 x 25)/100 = P/4
चक्रवाढ व्याज (CI) = [P(1 + (25/200))2] - P ( T = 2 ∵ 1 वर्षासाठी सहामाही चक्रवाढ)
⇒ CI = 17P/64
आता, CI - SI = (17P/64) - (P/4) = P/64
⇒ P/64 = 4375
∴ P = 64 × 4375 = 280000
Shortcut Trick
वापरलेले सूत्र:
CI - SI = P(R/100)2
व्याजदर (R) = 25%/2 सहामाही चक्रवाढ होत असल्याने.
⇒ 4375 = P (25/200)2
⇒ P = 4375 × 64
⇒ P = 280,000
∴ रक्कम 280,000 रुपये आहे.
Last updated on Jun 12, 2025
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