Question

The simple interest on a sum of money is 1/5 th of the principal and the number of years is equal to 5/9 th of the rate percent p.a. find the rate of interest p.a .(a) 6, (b)2,(c)4 ,(d) 2. 5. ​

Answer 1

Answer:

Let the principal be P.

Rate of interest be R%

According to the question, Time=R

Simple interest =94P.

SI=100(PTR)

⇒94P=100(PTR)

⇒94P=100(P×R×R)

⇒94P=100(P×R2)

⇒94=100R2

⇒R2=100×94

⇒R=10×32=320

Therefore, rate of interest is 320% or  632%.

I hope it will be help you

Answer 2

Step-by-step explanation:

let the principal be x

then the si will be x/5

let the rate be r

then the time will be 5r/9

si = prt/100

x/5 = (x×r×5r/9)/100

x/5= 5r²x/900

x= 5r²x/180

1= 5r²/180

180= 5r²

36= r²

6²= r²

6= r

hence rate% is 6

....666...