Question

trends fashion for everyone
from \\$3.44 -60\\% \\$8.59
trends shein girlism tween girls leaf graphic ruched waist casu
4.84 (100+)
color: multicolor
size default
12y-16y
8y(48-50 in)
9y(50-53 in)
10y(53-55 in)
11y(55-58 in)
12y(58-60 in)
13y(60-62 in)
size guide
qty - 1 +
shipping to united states
free shipping(orders \ge \\$15.00)
\\$5 credits if late | est. delivery: jul 7 - jul 13, 76.63\\% are \le 7 business days

Explanation:

🆕 New Concept Discovered: Percentage Discount Verification
Checking if a marked-down price matches a stated percentage discount.

Step 1: Identify the given values

From the product image, we can locate the following pricing details:

• Original Price (crossed out): \( P_{\text{original}} = \$8.59 \)
• Sale Price: \( P_{\text{sale}} = \$3.44 \)
• Advertised Discount Percentage: \( D_{\text{advertised}} = 60\% \)

Step 2: Calculate the expected sale price

To verify if the discount is exactly \( 60\% \), we calculate what the sale price should be using the formula:

$$ P_{\text{expected}} = P_{\text{original}} \times (1 - \text{Discount Rate}) $$

Substituting the values:

$$ P_{\text{expected}} = 8.59 \times (1 - 0.60) $$

$$ P_{\text{expected}} = 8.59 \times 0.40 $$

$$ P_{\text{expected}} = 3.436 $$

Rounding to the nearest cent gives \( \$3.44 \).

Step 3: Calculate the actual discount percentage

To find the exact percentage off, we use the percentage change formula:

$$ \text{Actual Discount} = \frac{P_{\text{original}} - P_{\text{sale}}}{P_{\text{original}}} \times 100\% $$

Substituting the values:

$$ \text{Actual Discount} = \frac{8.59 - 3.44}{8.59} \times 100\% $$

$$ \text{Actual Discount} = \frac{5.15}{8.59} \times 100\% $$

$$ \text{Actual Discount} \approx 0.59953 \times 100\% \approx 59.95\% $$

The actual discount of \( 59.95\% \) is rounded to the nearest whole percentage, which is \( 60\% \).

Answer:

• Original Price: \( \$8.59 \)
• Sale Price: \( \$3.44 \) (starts "From \( \$3.44 \)")
• Discount: \( 60\% \) off (exact calculated discount is \( 59.95\% \), which rounds to \( 60\% \))