Question

the simple interest on a sum of money is 8/25 times of the sum. if the numbers of here is numerically half the rate of percent per annum then the rate of interest per annum is ​

Answer 1

||✪✪ QUESTION ✪✪||

the simple interest on a sum of money is 8/25 times of the sum. if the numbers of years here is numerically half the rate of percent per annum then the rate of interest per annum is ?

|| ✰✰ ANSWER ✰✰ ||

→ Let Principal is = Rs.100

→ Simple interest = (8/25) of Principal = 8*100/25 = Rs.32

→ Let Rate is = R

→ Time = Half of rate = (R/2)

we know that,

Simple interest = (Principal * Rate * Time) / 100

Putting all values now we get,

→ 32 = [ 100 * R * (R/2) ] / 100

→ 32 = R²/2

→ R² = 64

Square - root both sides

→ R = 8% . (Ans).

Hence, Required Rate is 8% per annum and time will be 4 years in this case.

Answer 2

Let the Rate = R% per annum

.°. time = R/2 years

.°. Rate = SI × 100/p×T

R = 8/25 × 100/r/100

R^2 = 8 × 200 × 64/25

R = √64

R = 8%