Calculating Discount Percentage

Let's find out the discount percentage on an article with a marked price of Rs. 4000 and a selling price of Rs. 2600. Understanding marked price, selling price, and discount is key to solving this problem.

Understanding Marked Price and Selling Price

• Marked Price (MP): This is the price printed on the article or displayed in the shop. It's often the initial price before any discount.
• Selling Price (SP): This is the price at which the article is actually sold to the customer.
• Discount: The reduction in price given on the marked price. Discount is calculated as the difference between the marked price and the selling price.

Calculating the Discount Amount

The discount is the difference between the Marked Price and the Selling Price.

Discount = Marked Price - Selling Price

Given:

• Marked Price (MP) = Rs. 4000
• Selling Price (SP) = Rs. 2600

Calculation:

Discount = Rs. 4000 - Rs. 2600

Discount = Rs. 1400

So, the discount offered on the article is Rs. 1400.

Calculating the Discount Percentage

The discount percentage is always calculated on the Marked Price. The formula for discount percentage is:

$\text{Discount Percentage} = \left( \frac{\text{Discount}}{\text{Marked Price}} \right) \times 100\%$

Using the values we have:

• Discount = Rs. 1400
• Marked Price = Rs. 4000

Now, let's put these values into the formula:

$\text{Discount Percentage} = \left( \frac{1400}{4000} \right) \times 100\%$

Simplify the fraction:

$\text{Discount Percentage} = \left( \frac{140}{400} \right) \times 100\%$

$\text{Discount Percentage} = \left( \frac{14}{40} \right) \times 100\%$

$\text{Discount Percentage} = \left( \frac{7}{20} \right) \times 100\%$

Calculate the percentage:

$\text{Discount Percentage} = 7 \times \frac{100}{20}\%$

$\text{Discount Percentage} = 7 \times 5\%$

$\text{Discount Percentage} = 35\%$

Thus, the discount percentage on the article is 35%.

Final Answer Summary

The marked price was Rs. 4000, and the selling price was Rs. 2600. The discount was Rs. 1400, which translates to a 35% discount percentage calculated on the marked price.

Revision Table: Price Concepts

Additional Information: Related Concepts

Understanding marked price, selling price, and discount percentage is fundamental in commercial arithmetic. Here are some related concepts:

• Cost Price (CP): The price at which an article is bought.
• Profit/Loss: Calculated based on the difference between Selling Price (SP) and Cost Price (CP).
  • Profit = SP - CP (if SP > CP)
  • Loss = CP - SP (if CP < SP)
• Profit/Loss Percentage: Always calculated on the Cost Price (CP).
  • Profit % = (Profit / CP) $\times$ 100%
  • Loss % = (Loss / CP) $\times$ 100%
• Relation between CP, MP, SP and Discount/Profit/Loss: Marked Price is usually set above the Cost Price. Discount is applied to the Marked Price to arrive at the Selling Price. The outcome (Profit or Loss) is determined by comparing the Selling Price with the Cost Price.

In many problems, you might need to find one of these values given others, using the relationships and formulas discussed.