# Former price

The price of an article is cut by 10%, to restore it to the former value, by what percent the new price must be increased?

Correct result:

p =  11.111 %

#### Solution:

$\ \\ (1-10/100) \cdot \ (1+p/100)=1 \ \\ \ \\ 0.9p=10 \ \\ \ \\ p=\dfrac{ 100 }{ 9 } \doteq 11.111111=11.111 \%$

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