Question

a certain amount of money invested at simple interest Doubles itself in 6 years 3 months in what time will it treble itself. ​

Answer 1

Answer:

12 years 6 months

Step-by-step explanation:

SI = P*R*T/100

=> If the amount is doubled then SI = P

So, P = P*R*T/100 ==> 100 = R*(6 + 3/12)  { 3 months = 3/12 years}

==> 100 = R*(25/4) ==> R=16%

Now, If the amount is trippled then SI = 2P.

So, 2P = P*R*T/100

=> T = 200/R = 200/16 = 25/2 years = 12.5 years

=> 12 years + 0.5*12 months

=> 12 years 6 months