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Dupa o reducere de 10% pretul unui obect a devenit 54 let . Pretul initial era.... vreau doar raspunsul , nu si rezolvarile ;)

Răspuns :

[tex]x\to pretul \ initial \\\\ 10\% \ din \ x \to \frac{10}{100}*x= \frac{1}{10}*x \to \frac{x}{10} -reducerea \\\\ x^{(10}-\frac{x}{10}= \frac{10x-x}{10}\to\frac{9x}{10}-noul \ pret \\\\\\ \frac{9x}{10}=54 \\\\ x=\frac{10*54}{9} \\\\ x=10*6 \\\\ \boxed{x=60 \ lei} [/tex]
 [tex] x\;\cdot\;\frac{100-10}{100}=54(lei) \\ \rightarrow\;x=\frac{54*10\not0}{9\not0}=540:9=... lei\;;[/tex]