The simple interest on a sum of money is 4/9 of the principal. Find the rate percentage and time, if both are numerically equal. Choose the correct choice:	A) 6 1/3 % and 6 2/3 years	B) 6 2/3 % and 6 1/3 years	C) 6 2/3 % and 6 2/3 years	D) 6 1/3 % and 6 1/3 years	E) 6 % and 6 2/3 years
Let sum = Rs. x. Then, S.l. = Rs. 4x/9   Let rate = R% and time = R years.   Then, (x*R*R)/100=4x/9 or R^2 =400/9 or R = 20/3 = 6 2/3.   Rate = 6 2/3 % and   Time = 6 2/3 years = 6 years 8 months   Answer is 6 2/3 % and 6 2/3 years
<result>C</result>
The simple interest on a sum of money is 4/9 of the principal. Find the rate percentage and time, if both are numerically equal.