Question

what time will the simple interest on a certain time be three fourth of the principal at 6% per annum​

Answer 1

║⊕ANSWER⊕║

Let the principal amount be Rs. 100

Simple interest should be three fourth (3/4th) of the principal.

So, the simple interest = (100*3)/4

                                         = Rs. 75

GIVEN

P = Rs. 100

Rate of Interest = 6 %

Time = ?

Simple Interest = Rs. 75

Simple Interest = P*R*T/ 100

⇒ 75 = (100*6*T)/100

⇒ 75*100 = 600T

⇒ T = 7500/600

⇒ T = 25/2 or 12 years and 6 months

 

So, in 12 years and 6 months the simple interest on a certain principal will be three-fourth of that principal at 6 % per annum.

Answer 2

Step-by-step explanation:

let the principal be Rs. x and the time taken be n years

I=p*t*r/100

According to Q.

(3/4)*x=x*n*6/100

3/4=n*3/50 (canceling x on both sides)

3n/50=3/4

n=(50/3)*(3/4)

n=50/4

n=12•5years

or, 12 years & 6 months.