Question

Dupa doua scumpiri succesive cu cate 10% un produs casta 60,5 lei . Aflati pretul initial al produsului

Answer 1

$x \to pretul \ initial \\\\ 10\% \ din \ x= \frac{\not10}{\not100}*x = \frac{1}{10}*x \to \frac{x}{10}-prima \ scumpire \\\\ x^{(10}+\frac{x}{10}= \frac{10x+x}{10}\to \frac{11x}{10}-noul \ pret \\\\ 10\% din \frac{11x}{10}=\frac{\not 10}{\not 100}* \frac{11x}{10}= \frac{1}{10}* \frac{11x}{10} \to \frac{11x}{100}-a \ doua \ scumpire \\\\ \frac{11x}{10}^{(10}+\frac{11x}{100}=\frac{110x+11x}{100}=\frac{121x}{100}-noul \ nou \ pret \\\\\\ \frac{121x}{100}=60,5 \\\\ x=\frac{100*60,5}{121}$

$x=\frac{6050}{121} \\\\ \boxed{x=50}$