Yogesh invested some money in HDFC at 4% per annum rate of interest. What would be the corresponding simple interest (in Rs. ) if after 2 years, Yogesh got Rs. 229.5 as compound interest, considering annual compounding?

Correct option is B

Given:
Principal (P) = ?
Rate of Interest (R) = 4% per annum
Time (T) = 2 years
Compound Interest (CI) = Rs. 229.5 (annual compounding)
Formula Used:
$$CI = P\left[\left(1 + \frac{R}{100}\right)^T - 1\right]$$
$$SI = \frac{P \times R \times T}{100}$$
Solution:
$$229.5 = P\left[\left(1 + \frac{4}{100}\right)^2 - 1\right]\\\ \\\Rightarrow\;\;\; 229.5 = P \times 0.0816\\\ \\P = \frac{229.5}{0.0816} = 2812.5\\\ \\SI = \frac{2812.5\times 4 \times 2}{100} = 225\\\ \\$$
Exam Hall Method: