Accessories 67224

Peter chose a bike for €750 in a bike shop. With accessories, its price increased by 10%. As the store had a summer sale, Peter received a 10% discount on the purchase price. How many euros did he pay for the purchase?

Correct answer:

x =  742.5 Eur

Step-by-step explanation:

$$\begin{gathered} a=750\text{eur} \\ {q}_1=100\%+10\%=1+\frac{10}{100}=1.1 \\ {q}_2=100\%-10\%=1-\frac{10}{100}=0.9 \\ q=q_1\cdot q_2=1.1\cdot 0.9=\frac{99}{100}=0.99 \\ x=a\cdot q=750\cdot 0.99=742.5\text{Eur} \end{gathered}$$

Try another example