Verified by Ajay Kumar
Calculate the compound interest on ₹2,500 at 20% per annum for 1 year 9 months, compounded annually.
₹1050
₹950
₹1000
₹900
Answer: B
Solution: After 1 year, the amount is \(2500\times1.20=3000\). For the remaining 9 months, calculate simple interest on ₹3,000: \(SI=\frac{3000\times20\times9}{100\times12}=450\). Total amount \(=3000+450=3450\). Compound interest \(=3450-2500\) = ₹950. Trick: With annual compounding and a fractional final year, compound for the completed year and calculate simple interest for the remaining months.
₹2,500 पर 20% वार्षिक दर से 1 वर्ष 9 महीने का चक्रवृद्धि ब्याज ज्ञात कीजिए, जबकि ब्याज वार्षिक रूप से संयोजित होता है।
₹1050
₹950
₹1000
₹900
उत्तर: B
हल: 1 वर्ष बाद मिश्रधन \(=2500\times1.20=3000\) होगा। शेष 9 महीने के लिए ₹3,000 पर साधारण ब्याज निकालें: \(SI=\frac{3000\times20\times9}{100\times12}=450\)। कुल मिश्रधन \(=3000+450=3450\)। चक्रवृद्धि ब्याज \(=3450-2500\) = ₹950। ट्रिक: वार्षिक चक्रवृद्धि ब्याज में पूरे वर्षों का चक्रवृद्धि ब्याज निकालें और शेष महीनों के लिए साधारण ब्याज लें।
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