The price

The price of the calculator gradually decreased. From 65 euros to 30 euros, then to 10 euros and finally to 4 euros. What percentage were the individual reductions? What percentage of the original price was reduced by a total of?

Correct answer:

p₁ =  53.8462 %
p₂ =  66.6667 %
p₃ =  60 %
p₄ =  93.8462 %

Step-by-step explanation:

$p_3=100\cdot {\displaystyle \frac{c_3-c_4}{c_3}}=100\cdot {\displaystyle \frac{10-4}{10}}=60\mathrm{\%}$

$$\begin{gathered} p_4=100\cdot {\displaystyle \frac{c_1-c_4}{c_1}}=100\cdot {\displaystyle \frac{65-4}{65}}={\displaystyle \frac{1220}{13}}\doteq 93.8462=93.8462\mathrm{\%} \\ \text{ Verifying Solution: } \\ p=p_1+p_2+p_3=53.8462+66.6667+60={\displaystyle \frac{7040}{39}}\doteq 180.5128\mathrm{\%} \\ p\mathrm{\ne }{p}_4 \end{gathered}$$

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