Discount sale

At Christmas Sale after a 20% discount cosmetic package was priced at a price of 5 euros and 60 cents; later it went to 3 euros and 80 cents. How much percentage is the total discount?

Result

p =  45.714 %

Solution:

$\ \\ a - 0.20a=5.60 \ \\ \ \\ 0.8a=5.6 \ \\ \ \\ a=7 \ \\ \ \\ b=3.80 \ \text{eur} \ \\ \ \\ p=100 \cdot \ \dfrac{ a-b }{ a }=100 \cdot \ \dfrac{ 7-3.8 }{ 7 } \doteq \dfrac{ 320 }{ 7 } \doteq 45.7143 \doteq 45.714 \%$

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