Răspuns :
x-pretul initial
I scumpire: x+10x/100=x+x/10=(10+x)/10=11x/10
II scumpire: 11x/10+(11x/10)·10/100=11x/10+11x/100=(110x+11x)/100=121x/100
121x/100=60,5
x=(60,5·100)/121
x=50 lei
verificare
pretul dupa prima scumpire:50+50x10/100=55 lei
II scumpire: 55+55x10/100=60,5 lei
I scumpire: x+10x/100=x+x/10=(10+x)/10=11x/10
II scumpire: 11x/10+(11x/10)·10/100=11x/10+11x/100=(110x+11x)/100=121x/100
121x/100=60,5
x=(60,5·100)/121
x=50 lei
verificare
pretul dupa prima scumpire:50+50x10/100=55 lei
II scumpire: 55+55x10/100=60,5 lei
Fie x pretul initial.Atunci conform enunt avem :
110/100*110/100*x=60,5
11*11/100*x=60,5
x=60,5:121/100=60,5*100/121=50 lei
110/100*110/100*x=60,5
11*11/100*x=60,5
x=60,5:121/100=60,5*100/121=50 lei