︎︎︎︎︎︎ ᐯᗩ ᖇᗝǤ ᗰᑌᒪ丅 ʀᴇᴘᴇᴅᴇᵖˡˢˢˢ
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a+20/100 x a = 50 lei
100a+20a/100=50 lei
120a=5000 lei=>a=41,(6) lei
Explicație pas cu pas:
x= pretul initial al cartii
scumpire: 20% din x -> 20/100 × x -> x/5
pretul dupa scumpire: x+20% × x = x+ x/5 (amplificam "x" cu 5) = (5x+ x)/5 =6x/5 = 50 lei (din cerinta)
6x/5=50 -> 6x=50× 5 = 250 -> x= 250/6 -> x= 41,66 lei