Question

39.) The simple interest on a certain
amount of money at a certain rate for
8 years is 2000. Then the simple
interest on four times the amount at
the same rate for 2 years will be
(1) 1200 (2) 2000
(3) * 3000 (4) *3500​

Answer 1

Answer:

(2)2000

Step-by-step explanation:

Since,

simple interest = (principal * rate * time)/100

Given,

s.i = 2000

time (t) = 8 yrs

let principal amount = x

rate = r

so,

2000 = (x * r * 8) / 100

2000 / 8 = (x*r) / 100

250 * 100 = x * r

x = (250 * 100) / r

Now,

Four times the amount of x = 4 ( 250 * 100) /r

and time (t) = 2 yrs

S.I. = [{4 (250 *100) / r} * r * 2] / 100

     = (4 * 250 * 100 * 2) / 100

     = 4 * 500

     = 2000