# The simple interest on a sum of money at 4% per annum for 2 years is Rs 80. The compound interest on the same sum for the same period is = ?

A. Rs. 82.60

B. Rs. 82.20

C. Rs. 81.80

D. Rs. 81.60

**Answer: Option D **

__Solution(By Examveda Team)__

$$\eqalign{
& {\text{Rate }}\% {\text{ = 4}}\% \cr
& {\text{Time (}}{{\text{t}}_1}) = 2\,{\text{years}} \cr
& {\text{SI for 2 years}} \cr
& {\text{ = 4}} \times {\text{2 = 8}}\% \cr
& {\text{CI for 2 years}} \cr
& {\text{ = 4 + 4 + }}\frac{{4 \times 4}}{{100}} \cr
& = 8.16\% \cr
& \operatorname{Required} \,CI \cr
& = \frac{{80}}{8} \times 8.16 \cr
& = Rs.\,81.60 \cr} $$ Related Questions on Compound Interest

A. Rs. 120

B. Rs. 121

C. Rs. 122

D. Rs. 123

E. None of these

A. 625

B. 630

C. 640

D. 650

E. None of these

A. Rs. 2160

B. Rs. 3120

C. Rs. 3972

D. Rs. 6240

E. None of these

A. Rs. 2.04

B. Rs. 3.06

C. Rs. 4.80

D. Rs. 8.30

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