Question

Kiara wants to buy a pair of shoes. The shoes cost $150. The salesman sells Kiara the shoes at a discount price of $100. Find the discount percentage, rounded to the nearest whole number, given by the salesman to Kiara.
33%
34%
35%
36%

Answer 1

To find the discount percentage, we first need to determine the amount of discount given to Kiara.

1. **Calculate the discount amount**:
\[
\text{Discount Amount} = \text{Original Price} - \text{Discounted Price}
\]
\[
\text{Discount Amount} = 150 - 100 = 50
\]

2. **Calculate the discount percentage**:
\[
\text{Discount Percentage} = \left( \frac{\text{Discount Amount}}{\text{Original Price}} \right) \times 100
\]
\[
\text{Discount Percentage} = \left( \frac{50}{150} \right) \times 100 = \frac{50 \times 100}{150} = \frac{5000}{150} \approx 33.33\%
\]

3. **Round to the nearest whole number**:
Rounding 33.33% gives us 33%.

Thus, the discount percentage given by the salesman to Kiara is **33%**.