Answer :-
3 years
step by step explanation:-
Let the time be x
principal = rs 8000
Amount = rs 13824
rate = 20% p.a
A = P(1+r/100)^n
13824 = 8000 ( 1 + 20/100)^n
=> 13824/8000 = (120/100)^n
=> 13824/8000 = (24/20)^n
=> (24/20)³ = (24/20)^n
=> 3 = n
=> n = 3 years