Question

The simple interest on a sum of money is 4/9 of the principal and the no of years = to rate of interest. Find rate of interest

Answer 1

Answer:

here I = 4/9P

R = N,NxR=NxN=N2

I=PNR/100

4/9 P=PxNxN/100

100x4xP=PN2

N2=400P/P = 400

N =v400=20

since N=R

We take, N=20 yrs and R = 20%

Answer 2

Answer:

R = 6   2/3 %                                                                  

Step-by-step explanation:

S.I = PTR/100

S.I = 4/9 X P = 4P/9

T=R

PTR/100=PR^2/100(RT=R^ Since T=R)

Therefore 4P/9 = PR^2/100

4P X 100/9 = PR^2

400P/9 = PR^2

400P/9P = R^2

400/9 = R^2

R^2 = 400/9 %

R = \sqrt{400/9}\\\\ %

R = 20/3 %

R = 6   2/3 %