Goods

To the market is introducing a new product, the first week is sold at a reduced price.
8 products is sell at an entry price same as 5 products at the normal price.

How much % is reduced price less than the current price for this product?

Correct answer:

x =  37.5 %

Step-by-step explanation:

$$\begin{gathered} 8p_1=5p_2 \\ {p}_1<p_2 \\ 8p(1-x\mathrm{/}100)=5p \\ 8(1-x\mathrm{/}100)=5 \\ 1-x\mathrm{/}100=5\mathrm{/}8 \\ 1-5\mathrm{/}8=x\mathrm{/}100 \\ x=100\cdot (1-5\mathrm{/}8) \\ x=37.5\mathrm{\%} \end{gathered}$$

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