Question

You are offered an item for $17.85. If the seller states he normally sells the same item for $19.95, what percentage discount is he offering you?

Answer 1

To find the percentage discount being offered, we first need to determine the amount of the discount.

The normal price of the item is $19.95, and the sale price is $17.85.

1. Calculate the discount amount:

\[
\text{Discount} = \text{Normal Price} - \text{Sale Price} = 19.95 - 17.85 = 2.10
\]

2. Next, calculate the percentage discount based on the normal price. The formula for calculating percentage discount is:

\[
\text{Percentage Discount} = \left( \frac{\text{Discount}}{\text{Normal Price}} \right) \times 100
\]

Substituting the values we have:

\[
\text{Percentage Discount} = \left( \frac{2.10}{19.95} \right) \times 100
\]

3. Calculate the value:

\[
\frac{2.10}{19.95} \approx 0.1053
\]

Now multiplying by 100 to get the percentage:

\[
0.1053 \times 100 \approx 10.53\%
\]

Thus, the seller is offering you approximately a **10.53% discount**.