To determine the percentage reduction of the price of a bicycle that was originally priced at 34000 gourdes and is now sold for 25000 gourdes, we need to follow these steps:
1. Find the amount of reduction: Subtract the sale price from the initial price to find out how much the price has been reduced.
[tex]\[
\text{Reduction Amount} = \text{Initial Price} - \text{Sale Price}
\][/tex]
[tex]\[
\text{Reduction Amount} = 34000 \, \text{gourdes} - 25000 \, \text{gourdes} = 9000 \, \text{gourdes}
\][/tex]
2. Calculate the percentage reduction: To find the percentage reduction, we use the reduction amount and divide it by the initial price, then multiply by 100 to convert it to a percentage.
[tex]\[
\text{Percentage Reduction} = \left( \frac{\text{Reduction Amount}}{\text{Initial Price}} \right) \times 100
\][/tex]
[tex]\[
\text{Percentage Reduction} = \left( \frac{9000 \, \text{gourdes}}{34000 \, \text{gourdes}} \right) \times 100 \approx 26.47\%
\][/tex]
So, the percentage reduction relative to the initial price is approximately [tex]\(26.47\%\)[/tex].
Therefore, the correct answer is:
c) [tex]\(26,47\%\)[/tex]
