Original 8118

The product was reduced by 10% and then by another 8%. What was the original price if it now costs 13248 CZK? What percentage of the original price is a discount?

Correct answer:

x =  16000 Kc
p =  17.2 %

Step-by-step explanation:

$$\begin{gathered} q_1=100\%-10\%=1-\frac{10}{100}=0.9 \\ {q}_2=100\%-8\%=1-\frac{8}{100}=0.92 \\ y=13248\text{Kc} \\ x\cdot q_1\cdot q_2=y \\ x=y/(q_1\cdot q_2)=13248/(0.9\cdot 0.92)=16000\text{Kc} \end{gathered}$$

$p=100\cdot \frac{x-y}{x}=100\cdot \frac{16000-13248}{16000}=\frac{86}{5}\%=17.2\%$

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