Notam suma initiala cu x.
Dupa un an , suma era de x + x*8% = x(1+8/100) = x(100/100+8/1000 = x*108/100 = x*27/25
Dupa 2 ani, suma era de x*27/25 + x*27/25*8% = x*27/25(1+8/100) = x*27/25*108/100 = x*27/25 *27/25 = x*729/625
Aceasta suma reprezinta 5832 lei, adicxa:
x*729/625 = 5832
x*729 = 5832*625
x = 5832*625/729
x = 5000 lei, deci suma initiala a fost de 5000 lei.
Dupa un an, suma era: 5000*27/25 = 200*27 = 5400 lei