Invested amount in a government bond = $50.
Total returned amount after 1 year =$54.
We need to find the amount of interest earned first.
Amount of intrest earned in a year = Total returned amount after 1 year - Invested amount in the government bond.
Therefore, Amount of intrest earned in a year = $54 - $50.
= $4.
Therefore, earned interest is $4 in an year.
Now, we need to find the intrest rate.
We know the formula,
![Interest \ rate=(Earned \ Interest)/(Invested \ Money) * 100](https://img.qammunity.org/2019/formulas/mathematics/high-school/b1745yedeyuoayxeccezqhcxv3uva3szel.png)
Plugging values in above formula, we get
Rate of interest =
![(4)/(50) *100](https://img.qammunity.org/2019/formulas/mathematics/high-school/8wdmrukolc49mszkqav3qopd35rt688xj4.png)
Dividing 100 by 50, we get 2.
![(4)/(50) *100= 4*2=8](https://img.qammunity.org/2019/formulas/mathematics/high-school/10s81luqs9bjoy7sjzeuo6pd1mp8g7ilu5.png)
Therefore, Rate of Interest (ROI) = 8% per year.