TV Price Changes Series

The TV cost 1000 euros. In the last three months, they first reduced the TV price by 30%, then lowered it again by 20%, and finally increased it by 50%. Was the last price the same as the original?

Final Answer:

c =  840 Eur

Step-by-step explanation:

$$\begin{gathered} c_1=1000\text{eur} \\ {c}_2=c_1\cdot (1-0.30)=1000\cdot (1-0.30)=700\text{eur} \\ {c}_3=c_2\cdot (1-0.20)=700\cdot (1-0.20)=560\text{eur} \\ c=c_3\cdot (1+0.50)=560\cdot (1+0.50)=840\text{eur} \\ c\ne c_1 \end{gathered}$$

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