Question
[32]. A farmer deposits ₹8000 in a post-office scheme that compounds interest yearly at 10% per annum and does not withdraw anything for two years. How much interest does he earn in the two years? Note carefully: the second year's interest is charged on the grown amount, not on the original deposit alone. / एक किसान डाकघर की योजना में ₹8000 जमा करता है जिसमें 10% वार्षिक दर से ब्याज वार्षिक रूप से चक्रवृद्धि होता है, और वह दो वर्ष तक कुछ भी नहीं निकालता। दो वर्षों में उसे कितना ब्याज मिलता है? ध्यान दें: दूसरे वर्ष का ब्याज केवल मूल जमा पर नहीं, बल्कि बढ़ी हुई राशि पर लगता है।
Option 3 : ₹1680
Detailed Solution
सही उत्तर ₹1680 है।
Amount after 2 years = 8000 × (1.10)² = 8000 × 1.21 = ₹9680; interest = 9680 − 8000 = ₹1680. Simple interest would give only ₹1600, so the extra ₹80 is the interest earned on the first year's interest. / दो वर्ष बाद मिश्रधन = 8000 × (1.10)² = 8000 × 1.21 = ₹9680; ब्याज = 9680 − 8000 = ₹1680। साधारण ब्याज से केवल ₹1600 मिलता, इसलिए अतिरिक्त ₹80 पहले वर्ष के ब्याज पर मिला ब्याज है।
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Question:
[32]. A farmer deposits ₹8000 in a post-office scheme that compounds interest yearly at 10% per annum and does not withdraw anything for two years. How much interest does he earn in the two years? Note carefully: the second year's interest is charged on the grown amount, not on the original deposit alone. / एक किसान डाकघर की योजना में ₹8000 जमा करता है जिसमें 10% वार्षिक दर से ब्याज वार्षिक रूप से चक्रवृद्धि होता है, और वह दो वर्ष तक कुछ भी नहीं निकालता। दो वर्षों में उसे कितना ब्याज मिलता है? ध्यान दें: दूसरे वर्ष का ब्याज केवल मूल जमा पर नहीं, बल्कि बढ़ी हुई राशि पर लगता है।
Correct Answer: ₹1680
Amount after 2 years = 8000 × (1.10)² = 8000 × 1.21 = ₹9680; interest = 9680 − 8000 = ₹1680. Simple interest would give only ₹1600, so the extra ₹80 is the interest earned on the first year's interest. / दो वर्ष बाद मिश्रधन = 8000 × (1.10)² = 8000 × 1.21 = ₹9680; ब्याज = 9680 − 8000 = ₹1680। साधारण ब्याज से केवल ₹1600 मिलता, इसलिए अतिरिक्त ₹80 पहले वर्ष के ब्याज पर मिला ब्याज है।