1. Stating the problem: We need to complete the table by finding the missing values for marked price, selling price, and discount percentage using the given data.
2. Formula used: The discount percentage is calculated by
$$\text{Discount %} = \frac{\text{Marked Price} - \text{Selling Price}}{\text{Marked Price}} \times 100$$
3. Important rules:
- Marked Price is the original price before discount.
- Selling Price is the price after discount.
- Discount % tells how much percent was reduced from the marked price.
4. First row is complete: Marked Price = 160, Selling Price = 24, Discount % = 15% (given).
5. Second row: Marked Price = 21.95, Selling Price = 16.95, Discount % is missing.
Calculate discount %:
$$\text{Discount %} = \frac{21.95 - 16.95}{21.95} \times 100 = \frac{5}{21.95} \times 100 \approx 22.79\%$$
6. Third row: Selling Price = 449.95, Discount % = 10%, Marked Price is missing.
Use formula rearranged to find Marked Price:
$$\text{Selling Price} = \text{Marked Price} \times (1 - \frac{\text{Discount %}}{100})$$
$$449.95 = \text{Marked Price} \times (1 - 0.10) = \text{Marked Price} \times 0.90$$
$$\text{Marked Price} = \frac{449.95}{0.90} \approx 499.94$$
7. Final completed table:
- Row 1: Marked Price = 160, Selling Price = 24, Discount % = 15%
- Row 2: Marked Price = 21.95, Selling Price = 16.95, Discount % = 22.79%
- Row 3: Marked Price = 499.94, Selling Price = 449.95, Discount % = 10%
This completes the missing values using the discount formula and basic algebra.
Discount Table
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