Simple interest

plz  explain

 

The S.I on a sum of money is 4/9 of the
principal and the no. of years is equal to the
rate of interest per annum. Find the rate of
interest per annum
a) 5% b) 6% c) 20/3% d) 22/7%
Replies (3)
C) 20/3%.. Assuming, Principal--p Interest--i Time(yrs)--i(since time=rate of interest) And simple interest=4/9p So, the equation will be as follows:: pX(i/100)Xi=4/9p And after solving dis equation, i comes to 20/3 percent

please solve 

 

let principal be P....so S.I=4/9P

time=rate of int=x

Since

S.I=(P*T*R)/100

4/9P=(P*x*x)/100

(4*100*P)/9*P=x*x

400/9=x*x

x=square root of 400/9

x=20/3%

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