Product price reduction

If I reduce the price of the product by 40%, this price will be 60% lower than if I increased the price of this product by 720 euros. What was the original price of the product?

Final Answer:

x =  1440 eur

Step-by-step explanation:

$$\begin{gathered} r_1=100\%-40\%=1-\frac{40}{100}=0.6 \\ {r}_2=100\%-60\%=1-\frac{60}{100}=0.4 \\ {r}_1\cdot x=r_2\cdot (x+720) \\ 0.6\cdot x=0.4\cdot (x+720) \\ 0.2x=288 \\ x=\frac{288}{0.2}=1440 \\ x=1440=1440\text{eur} \end{gathered}$$

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