# 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 result:

x =  37.5 %

#### Solution:

$8 p_1 = 5 p_2 \ \\ p_1 < p_2 \ \\ 8 p ( 1- x/100) = 5 p \ \\ 8 ( 1- x/100) = 5 \ \\ 1- x/100 = 5/8 \ \\ 1-5/8 = x/100 \ \\ \ \\ x = 100 \cdot ( 1- 5/8) \ \\ x= 37.5 \%$

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