Discount

Ladies sweater was twice discounted. First by 8%, then by 8% of the new price. Its final price was 66 €. Determine the original price of the sweater.

Correct result:

c =  78 €

Solution:

$$\begin{gathered} q=1-8\mathrm{/}100={\displaystyle \frac{23}{25}}=0.92 \\ q\cdot q\cdot c=66 \\ 0.92\cdot 0.92\cdot c=66 \\ 0.8464c=66 \\ c=77.977316=78\text{ Eur} \end{gathered}$$

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