To find the original price of the book set before the discount, we need to understand how the discount affects the price.
1. Let's denote the original price of the book set by [tex]\(P\)[/tex].
2. The discount applied is 35%, which means the book set's price has been decreased by 35% of its original price.
3. Therefore, the new price after the discount is [tex]\(65\%\)[/tex] of the original price [tex]\(P\)[/tex] (since 100% - 35% = 65%).
Given the new price is [tex]\(£ 41.60\)[/tex]:
[tex]\[ 0.65 \times P = 41.60 \][/tex]
4. To find [tex]\(P\)[/tex], we need to solve the equation for [tex]\(P\)[/tex]:
[tex]\[ P = \frac{41.60}{0.65} \][/tex]
5. Perform the division to find the original price:
[tex]\[ P = 64.0 \][/tex]
Thus, the original price of the book set was £ 64.
