Understanding Discount Percentage Calculation for Articles

The problem asks us to calculate the discount percentage for each of the 6 articles listed in the table and then arrange them in descending order based on their discount percentages. We are given the marked price and selling price for each article, along with the formula for calculating the discount percentage.

The formula for Discount Percentage is given as:

\(\text{Discount Percentage} = \left[\frac{\text{Marked price} - \text{Selling price}}{\text{Marked price}}\right] \times 100\)

Calculating Discount Percentage for Each Article

Let's calculate the discount percentage for each article step-by-step using the given formula:

• Article A:

  Discount = Marked price - Selling price = \(750 - 650 = 100\)

  Discount Percentage for A = \(\left[\frac{100}{750}\right] \times 100 \approx 13.33\%\)

• Article B:

  Discount = Marked price - Selling price = \(600 - 450 = 150\)

  Discount Percentage for B = \(\left[\frac{150}{600}\right] \times 100 = \left[\frac{1}{4}\right] \times 100 = 25\%\)

• Article C:

  Discount = Marked price - Selling price = \(650 - 500 = 150\)

  Discount Percentage for C = \(\left[\frac{150}{650}\right] \times 100 = \left[\frac{15}{65}\right] \times 100 = \left[\frac{3}{13}\right] \times 100 \approx 23.08\%\)

• Article D:

  Discount = Marked price - Selling price = \(450 - 400 = 50\)

  Discount Percentage for D = \(\left[\frac{50}{450}\right] \times 100 = \left[\frac{1}{9}\right] \times 100 \approx 11.11\%\)

• Article E:

  Discount = Marked price - Selling price = \(850 - 650 = 200\)

  Discount Percentage for E = \(\left[\frac{200}{850}\right] \times 100 = \left[\frac{20}{85}\right] \times 100 = \left[\frac{4}{17}\right] \times 100 \approx 23.53\%\)

• Article F:

  Discount = Marked price - Selling price = \(350 - 300 = 50\)

  Discount Percentage for F = \(\left[\frac{50}{350}\right] \times 100 = \left[\frac{1}{7}\right] \times 100 \approx 14.29\%\)

Comparing and Ordering Discount Percentages

Now, let's list the calculated discount percentages approximately:

• Article A: \(13.33\%\)
• Article B: \(25\%\)
• Article C: \(23.08\%\)
• Article D: \(11.11\%\)
• Article E: \(23.53\%\)
• Article F: \(14.29\%\)

Arranging these percentages in descending order (from highest to lowest):

1. \(25\%\) (Article B)
2. \(23.53\%\) (Article E)
3. \(23.08\%\) (Article C)
4. \(14.29\%\) (Article F)
5. \(13.33\%\) (Article A)
6. \(11.11\%\) (Article D)

Therefore, the correct sequence of discount percentages from highest to lowest is B > E > C > F > A > D.

Revision Table: Discount Percentage Summary

The sequence based on descending discount percentage is B > E > C > F > A > D.

Additional Information: Concepts of Price and Discount

In retail and commerce, understanding terms like Marked Price, Selling Price, Discount, and Discount Percentage is crucial. Let's define them briefly:

• Marked Price (MP): This is the price printed on the label of an article. It is also sometimes called the list price.
• Selling Price (SP): This is the price at which the article is actually sold to the customer.
• Discount: This is the reduction offered on the Marked Price. Discount = Marked Price - Selling Price.
• Discount Percentage: This is the discount expressed as a percentage of the Marked Price. The formula is always calculated with respect to the Marked Price, unless otherwise specified.

Discounts are common strategies used to attract customers and clear old stock. Calculating and comparing discount percentages helps consumers find the best deals and businesses understand pricing strategies.