Question - Calculating the Final Price After Two Consecutive Discounts

Solution:

Let the original price of the boots be \( P \). According to the question, \( P = 200 \) euros.

The price after the first discount of \( 15\% \) is \( P_1 = P \times (1 - \frac{15}{100}) = 200 \times (1 - \frac{15}{100}) = 200 \times 0.85 = 170 \) euros.

The price after the second discount of \( 10\% \) on the new price \( P_1 \) is \( P_2 = P_1 \times (1 - \frac{10}{100}) = 170 \times (1 - \frac{10}{100}) = 170 \times 0.9 = 153 \) euros.

Therefore, the final price of the boots after the second discount is \( 153 \) euros.

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