Question

the simple interest on a certain sum is 9/5 of the sum. Find the rate and time, if both number are equal

Answer 1

Let the sum=x

Then Simple interest=

16

9

x

Let the rate=R% and time =R years.

S.I.=

100

PRT

⇒

100

x×R×R

=

16

9

x

⇒

100

R

2

=

16

9

⇒R

2

=

16

900

⇒R=

4

30

=

2

15

=7

2

1

Hence Rate of interest is 7

2

1

% and time is 7

2

1

years.