Additional 7569

The store reduced the original price by 40% during the sale. In addition, he sent an SMS message to his loyal customers with an offer of an additional 15% discount on the price of already discounted goods.
Calculate how much the original price was reduced by loyal customers who also used the discount offered in SMS.

Correct answer:

p =  49 %

Step-by-step explanation:

$$\begin{gathered} k_1=\frac{100-40}{100}=\frac{3}{5}=0.6 \\ {k}_2=\frac{100-15}{100}=\frac{17}{20}=0.85 \\ k=k_1\cdot k_2=\frac{3}{5}\cdot \frac{17}{20}=\frac{3\cdot 17}{5\cdot 20}=\frac{51}{100}=0.51 \\ p=100\cdot (1-k)=100\cdot (1-\frac{51}{100})=49\% \end{gathered}$$

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