If you deposit 800 yuan in the bank, the interest tax will be 20%. After one year, you will get 814.4 yuan of principal and after tax interest. What's the annual interest rate of fixed deposit for one year?

If you deposit 800 yuan in the bank, the interest tax will be 20%. After one year, you will get 814.4 yuan of principal and after tax interest. What's the annual interest rate of fixed deposit for one year?

After tax interest = principal × interest rate × term × (1-tax rate)
Annual interest rate = (sum of principal and interest - Principal) × principal / term / (1-tax rate)
Annual interest rate = (814.4-800) × 800 / 1 / (1-20%) = 0.0225 = 2.25%
The annual interest rate of time deposit is 2.25%