Question

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

Answer 1

Answer:

Step-by-step explanation:

let the sum be = x

simple interest = 9x/16

let the rate = y %

time = y years

simple interest = sum×rate×time/100

9x/16 = x×y×y/100

9x/16 = xy²/100

9/16 = y²/100

y² = (9×100)/16

y= (3×10)/4

y = 15/2

therefore rate is 7.5% and time is 7.5 years or 7 years 6 months