A product's price is 150$ . And it raises for 8% .... after a couple of days it gets down for 8% again. What's the new price? I keep getting the same answer.
the answer is: 149.04$

(ATTEMPT SHOWN)

Question

A product's price is 150$ .  And it raises for 8%  .... after a couple of days it gets down for 8% again.  What's the new price? I keep getting the same answer.  
the answer is: 149.04$
   
(ATTEMPT SHOWN)

linna · Answer

$$\begin{array}{l}150(1 + 8\% ) = x\150 + \frac{8}{{100}} = x\15000 + 8 = 100x\15008 = 100x\150.08 = x\\150.08(1 - 8\% ) = x\150.08 - \frac{8}{{100}} = x\\frac{{150.08 \cdot 100 - 8}}{{100}} = x\\frac{{15008 - 8}}{{100}} = x\\frac{{15000}}{{100}} = x\x = 150\end{array}$$

linna · Answer

leave it.. I know ahh...
150(1+8/100) is not 150+8/100