Sales off

Calculate what was the original price of the good, if the price after discount 25% and the subsequent rise of 20% is 400 USD.

Correct result:

x =  444.44 USD

Solution:

x⋅(1−25100)⋅(1+20100)=400 x⋅0.75⋅1.2=400 x=400/0.75/1.2 x=444.44 USDx\cdot (1-\dfrac{ 25}{100})\cdot (1+\dfrac{ 20}{100})= 400 \ \\ x\cdot 0.75\cdot 1.2= 400 \ \\ x = 400 / 0.75 / 1.2 \ \\ x = 444.44 \ \text{USD}

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