Dealer

Dealer sells digital camera for € 747. Thirty percent of the price was his profit. After some time, decreased interest in selling the camera and reduced its sales price by 11 %.

How much percent of the new price now is the dealer's profit? Round the result to two decimal places.

Correct answer:

x =  21.35 %

Step-by-step explanation:

$$\begin{gathered} c=747\text{eur} \\ {p}_1=30\%=\frac{30}{100}=\frac{3}{10}=0.3 \\ {p}_2=11\%=\frac{11}{100}=0.11 \\ z=c\cdot p_1=747\cdot \frac{3}{10}=\frac{747\cdot 3}{10}=\frac{2241}{10}=224.1\text{eur} \\ h=c-z=747-\frac{2241}{10}=\frac{747\cdot 10}{10}-\frac{2241}{10}=\frac{7470}{10}-\frac{2241}{10}=\frac{7470-2241}{10}=\frac{5229}{10}=522.9\text{eur} \\ {c}_2=c-c\cdot p_2=747-747\cdot \frac{11}{100}=664.83\text{eur} \\ x=100\cdot \frac{c_2-h}{c_2}=100\cdot \frac{\frac{66483}{100}-\frac{5229}{10}}{\frac{66483}{100}}=\frac{1900}{89}\%=21.35\% \end{gathered}$$

Try another example