The compound interest on a certain sum for 3 years at 20% per annum is₹864. Find the simple interest on the same sum at the same rate and period.
The compound interest on a certain sum for 3 years at 20% per annum is₹864. Find the simple interest on the same sum at the same rate and period.
किसी धनराशि पर 20% वार्षिक ब्याज दर से 3 वर्षों चक्रवृद्धि ब्याज ₹864 है। उसी धनराशि पर समान दर और समान समय के लिए साधारण ब्याज ज्ञात कीजिए।
Detailed Solution & Logic
₹712.09
दिया है:
3 वर्ष के लिए 20% वार्षिक दर पर चक्रवृद्धि ब्याज (CI) = ₹864
मान लेते हैं मूलधन = $P$
Formula:
CI = $P \left[\left(1 + \frac{20}{100}\right)^3 - 1\right]$
⇒ $864 = P[(1.2)^3 - 1]$
⇒ $864 = P[1.728 - 1]$
⇒ $864 = P \times 0.728$
⇒ $P = \frac{864}{0.728} = 1186.81$ (लगभग)
अब साधारण ब्याज (SI) निकालें:
SI = $ \frac{P \times R \times T}{100}$
⇒ SI = $ \frac{1186.81 \times 20 \times 3}{100}$
⇒ SI = ₹712.08 (लगभग)
👉 अंतिम उत्तर: ₹712 (लगभग)
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