Kaufland sales-off

As a rule the goods to the approaching end consumption in Kaufland three days before the end of the consumption to 30% off and one day before the end of the consumption to 50% discounts. Sometimes however the seller has been mistaken and the second discount is already computed from the discounted goods. Calculate how many percent the total discount is when the seller has mistaken.

Correct result:

p =  65 %

Solution:

$$\begin{gathered} c_1=1-30\mathrm{/}100={\displaystyle \frac{7}{10}}=0.7 \\ {c}_2=1-50\mathrm{/}100={\displaystyle \frac{1}{2}}=0.5 \\ {c}_3=c_1\cdot c_2=0.7\cdot 0.5={\displaystyle \frac{7}{20}}=0.35 \\ p=(1-c_3)\cdot 100=(1-0.35)\cdot 100=65\mathrm{\%} \end{gathered}$$

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