# Compound Interest- Aptitude Questions and Answers - in Hindi

 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%