Discounting 26971

The original price of the product was 2.55 euros, the price after the discount is 1.99. Find out:
a/What % of the original price is the price after the discount
b/How much % of the new price is the original price of the product
c/o How much % did the product get cheaper
d/by how much % is the original price higher than the price after discounting

Correct answer:

p₁ =  78.0392 %
p₂ =  128.1407 %
p₃ =  21.9608 %
p₄ =  28.1407 %

Step-by-step explanation:

$$\begin{gathered} a=2.55\text{Eur} \\ b=1.99\text{Eur} \\ {p}_1=100\cdot \frac{b}{a}=100\cdot \frac{1.99}{2.55}=\frac{3980}{51}\%=78.0392\% \end{gathered}$$

$p_2=100\cdot \frac{a}{b}=100\cdot \frac{2.55}{1.99}=128.1407\%$

$p_3=100\cdot \frac{a-b}{a}=100\cdot \frac{2.55-1.99}{2.55}=\frac{1120}{51}\%=21.9608\%$

$p_4=100\cdot \frac{a-b}{b}=100\cdot \frac{2.55-1.99}{1.99}=\frac{5600}{199}\%=28.1407\%$

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