The simple interest on a sum of money is 4/9 of the principal. What will be the annual rate of interest and time (in years), if both of these are numerically equal?

Correct option is D

given that,
Time T = R
Simple interest SI = 4P/9.
SI=(P×T×R)/100
4P/9=(P×R×R)/100
$$4P/9=(P×R^2)/100$$​
$$4/9=(R^2)/100$$​
$$R^2 =400/9$$​
$$R=20/3$$​
$$R=6(⅔)$$​