# Compound Interest- Aptitude Questions and Answers - in Hindi

 A man borrows 12500 from a bank at 20% compound interest. At the end of every year he pays 2000 as part repayment. How much (in rupees) does he still owe to the bank after three such instalments? एक आदमी 20% चक्रवृद्धि ब्याज की दर पर बैंक से 12500 उधार लेता है। प्रत्येक वर्ष के अंत में वह 2000 का भुगतान अदा करता है। तीन ऐसी किस्तें अदा करने के बाद कितने रुपये बैंक को अभी भी देय है? A) 15600 B) 12864 C) 13780 D) 14320 Correct Answer :14320 Explanation :Remaining amount after 1 year = 12500 *(120/100) - 2000 = 13000 Remaining amount after 2 year = 13000*(120/100) - 2000 = 13600 Remaining amount after 3 year = 13600*(120/100) - 2000 = 14320 A sum of 2400 deposited on compound interest, doubled after 5 years. How much will it be after 20 years? चक्रवृद्धि ब्याज पर जमा 2400 की राशि, 5 साल के बाद दोगुनी हो जाती हे। 20 साल बाद यह कितनी होगी ? A) 24000 B) 38400 C) 19200 D) 14320 Correct Answer :38400 Explanation :2P = P *(1 + R/100)5 24 P = P *(1 + R/100)20 The amount becomes 24 times = 16 times and required amount = 2400*16 =38400 In how many years Rs 800 will be Rs 882 at 5% per annum if compounded annually? 5 % प्रतिवर्ष चक्रवृद्धि ब्याज पर 800 रुपये कितने वर्ष में 882 रुपये हो जाएंगे? A) 1 year B) 2 years C) 3 years D) 4 years Correct Answer :2 years Explanation :amount = P ( 1 + R/100 )n As is given, 882 = 800*( 1 + 5/100 )n 882/800 = (21/20)n 441/400 = (21/20)n (21/20)2 = (21/20)n N=2 How much will the compound interest at the rate of 15/2% annually in 2 years on 6400 rupees? 6400 रुपये का 2 वर्षों में 15/2 % वार्षिक की दर पर चक्रवृद्धि ब्याज कितने रुपए होगा? A) 1016 B) 996 C) 976 D) 966 Correct Answer :996 Explanation :compound interest, CI= 6400* (1 + (15 / 2) / 100 )2 - 6400 = 6400* (1 + 15 / 200 )2 - 6400 = 6400* (43 / 40 )2 - 6400 = 6400* (1849 / 1600) - 6400 = 6400* (1849 / 1600 - 1) = 6400* 249 / 1600 = 996 The difference between the simple and the compound interest on a certain sum of money at 4% per annum in 2 years is 10 rs. What is the sum ? एक निश्चित राशि 4% प्रति वर्ष की दर से 2 वर्ष में , सरल और चक्रवृद्धि ब्याज के बीच का अंतर 10 Rs है। राशि क्या है? A) 5,000 B) 6,000 C) 6,250 D) 7,500 Correct Answer :6,250 Explanation :Let the sum is 100 then S.I. = 100* 4* 2 / 100 = 8 C.I = 100 *(1 + 4/100)2 - 100 = 100*( 26/25) 2 - 100 = 204/25 Difference between C.I and S.I = 204/25 - 8 = 4/25 = .16 So, 0.16 : 10 : : 100 : P ∴ P = (10* 100) / 0.16 = 6250 The effective annual rate of interest corresponding to a nominal rate of 22% per annum payable half-yearly is? प्रतिवर्ष 22% की सांकेतिक ब्याज दर के अनुसार अर्धवार्षिक रूप में देय ब्याज की प्रभावी वार्षिक दर क्या होगी? A) 44% B) 23.21% C) 46.42% D) 22% Correct Answer :23.21% Explanation :Amount = P[1+(R/2)/100]2n , if interest is payable half-yearly Let the amount is 100 for one year So, effective amount = 100*(1 + 11/100)2 = 100*(1 + 11/100)*(1 + 11/100) = 111*1.11 = 123.21 Then, Effective rate = 123.21 -100 = 23.21%