Question
The compound interest earned by Suresh on a certain amount at the end of two years at the rate of 8 p.c.p.a was Rs. 1,414.4. What was the total amount that Suresh got back at the end of two years in the form of principal plus interest earned?
सुरेश द्वारा दो वर्ष के अंत में 8 % की वार्षिक दर से एक निश्चित राशि पर अर्जित चक्रवृद्धि ब्याज रु 1,414.4 है । कुल राशि क्या थी जो सुरेश को दो साल के अंत में मूलधन और ब्याज के रूप में मिली कुल राशि थी?
A.
B.
C.
D.
Answer
B. Compound Interest (C.I)= 1414.4 rs Rate (R)=8% Time (T)=2 Principle Amount (P)=? C.I. = P [(1+R/100)^T−1] = 1414.4 = P x [(1+8/100)^2-1] = 1414.4 = P x [(108/100)^2-1] = 1414.4 = P x (108 x 108/100 x 100-1) = 1414.4 = P x (11664-10000/10000) = 1414.4 = P x (1664/10000) = 1414.4 = P × 0.1664 = P = 1414.4/0.1664 = Rs.8500 Therefore amount = 8500 + 1414.14 = 9914.14 rs So the correct answer is option B.
B. चक्रवृद्धि ब्याज (C.I) = 1414.4 रुपये दर (R) = 8% समय (T) = 2 मूलराशि (P) =? C.I. = P [(1+R/100)^T−1] = 1414.4 = P x [(1+8/100)^2-1] = 1414.4 = P x [(108/100)^2-1] = 1414.4 = P x (108 x 108/100 x 100-1) = 1414.4 = P x (11664-10000/10000) = 1414.4 = P x (1664/10000) = 1414.4 = P × 0.1664 = P = 1414.4/0.1664 = 8500 रुपये इसलिए कुल प्राप्त राशि = 8500 + 1414.14 = 9914.14 रुपये इसलिए सही उत्तर विकल्प B है।