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 answer:

x =  444.44 USD

Step-by-step explanation:

$$\begin{gathered} x\cdot (1-{\displaystyle \frac{25}{100}})\cdot (1+{\displaystyle \frac{20}{100}})=400 \\ x\cdot 0.75\cdot 1.2=400 \\ x=400\mathrm{/}0.75\mathrm{/}1.2 \\ x=444.44\text{ USD} \end{gathered}$$

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