Question
[38]. A school's science fund of ₹5000 is deposited in a bank that compounds interest yearly at 10% per annum, and nothing is withdrawn for two years. How much interest does the fund earn in the two years? Note: the second year's interest is earned on the first year's grown amount as well. / एक विद्यालय की विज्ञान निधि के ₹5000 एक बैंक में जमा किए जाते हैं जिसमें 10% वार्षिक दर से ब्याज वार्षिक रूप से चक्रवृद्धि होता है, और दो वर्ष तक कुछ भी नहीं निकाला जाता। दो वर्षों में निधि को कितना ब्याज मिलता है? ध्यान दें: दूसरे वर्ष का ब्याज पहले वर्ष की बढ़ी हुई राशि पर भी मिलता है।
Option 2 : ₹1050
Detailed Solution
सही उत्तर ₹1050 है।
Amount after 2 years = 5000 × (1.10)² = 5000 × 1.21 = ₹6050; interest = 6050 − 5000 = ₹1050. Simple interest would give only ₹1000. / दो वर्ष बाद मिश्रधन = 5000 × (1.10)² = 5000 × 1.21 = ₹6050; ब्याज = 6050 − 5000 = ₹1050। साधारण ब्याज से केवल ₹1000 मिलता।
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prepsnap.in • Mock TestQuestion:
[38]. A school's science fund of ₹5000 is deposited in a bank that compounds interest yearly at 10% per annum, and nothing is withdrawn for two years. How much interest does the fund earn in the two years? Note: the second year's interest is earned on the first year's grown amount as well. / एक विद्यालय की विज्ञान निधि के ₹5000 एक बैंक में जमा किए जाते हैं जिसमें 10% वार्षिक दर से ब्याज वार्षिक रूप से चक्रवृद्धि होता है, और दो वर्ष तक कुछ भी नहीं निकाला जाता। दो वर्षों में निधि को कितना ब्याज मिलता है? ध्यान दें: दूसरे वर्ष का ब्याज पहले वर्ष की बढ़ी हुई राशि पर भी मिलता है।
Correct Answer: ₹1050
Amount after 2 years = 5000 × (1.10)² = 5000 × 1.21 = ₹6050; interest = 6050 − 5000 = ₹1050. Simple interest would give only ₹1000. / दो वर्ष बाद मिश्रधन = 5000 × (1.10)² = 5000 × 1.21 = ₹6050; ब्याज = 6050 − 5000 = ₹1050। साधारण ब्याज से केवल ₹1000 मिलता।