Question

simple interest on a certain sum is 9/16 of the sum . Find the rate percent and the time if both are numerically equal​

Answer 1

Answer:

Percentage is $7\frac{1}{2}%$%

Time is $7\frac{1}{2}$

Step-by-step explanation:

Let the sum=x

Then simple interest = $\frac{9}{16}x$

Let the rate =R% and time =R years

$S.I=\frac{PRT}{100}$

Here," P "called percentage ,"R" called Rate, and" T "called time

$→\frac{x×R×R}{100}=\frac{9}{16}x$

$→\frac{R²}{100}=\frac{9}{16}$

$→R²=\frac{900}{16}$

$→R=\frac{30}{4}=\frac{15}{2}=7\frac{1}{2}$

Hence,

The Rate of Interest is $7\frac{1}{2}$ %and Time is $7\frac{1}{2}$