The Marked Price Of A Computer Is RS. 50000. Rear Bought It For RS. 112500 After Allowing A Discount And Sold It With A Certain Percentage Of Profit.If The Marked Price (MP), Discount (D), And Selling Price (SP) Are Given, Express SP In Terms Of MP And D.

Mar 8, 2025 by ADMIN 256 views

The Marked Price of a Computer: Expressing Selling Price in Terms of Marked Price and Discount

Introduction

In the world of commerce, understanding the relationship between the marked price, discount, and selling price of a product is crucial for making informed decisions. The marked price is the original price at which a product is listed, the discount is the amount deducted from the marked price, and the selling price is the price at which the product is sold. In this article, we will explore how to express the selling price in terms of the marked price and discount.

Understanding the Concepts

Before we dive into the mathematical expression, let's understand the concepts involved.

Marked Price (MP): The original price at which a product is listed.
Discount (D): The amount deducted from the marked price.
Selling Price (SP): The price at which the product is sold.

Expressing Selling Price in Terms of Marked Price and Discount

To express the selling price in terms of the marked price and discount, we can use the following formula:

SP = MP - D

However, this formula assumes that the discount is a fixed amount. In reality, the discount may be a percentage of the marked price. To account for this, we can modify the formula as follows:

SP = MP - (MP * D/100)

In this formula, D/100 represents the discount as a percentage of the marked price.

Simplifying the Formula

To simplify the formula, we can combine the terms:

SP = MP - (MP * D/100)

SP = MP(1 - D/100)

This formula expresses the selling price in terms of the marked price and discount as a percentage.

Example

Suppose the marked price of a computer is RS. 50000, and the discount is 20%. To find the selling price, we can plug in the values:

MP = 50000 D = 20% = 20/100 = 0.2

SP = MP(1 - D/100) SP = 50000(1 - 0.2) SP = 50000(0.8) SP = 40000

Therefore, the selling price of the computer is RS. 40000.

Conclusion

In conclusion, the selling price of a product can be expressed in terms of the marked price and discount using the formula SP = MP(1 - D/100). This formula takes into account the discount as a percentage of the marked price and provides a clear understanding of the relationship between the marked price, discount, and selling price.

Applications

The formula SP = MP(1 - D/100) has numerous applications in commerce and finance. It can be used to:

Calculate the selling price of a product after a discount.
Determine the discount amount based on the marked price and selling price.
Compare the prices of different products after discounts.

Limitations

While the formula SP = MP(1 - D/100) is useful, it has some limitations. For example:

It assumes that the discount is a percentage of the marked price.
It does not account for other factors that may affect the selling price, such as taxes or shipping costs.

Future Research

Future research can focus on developing more complex formulas that account for additional factors that may affect the selling price. Additionally, researchers can explore the application of the formula in different industries and contexts.

References

[1] "Discount and Selling Price." Wikipedia, Wikimedia Foundation, 2023, www.wikipedia.org.
[2] "Marked Price and Discount." Investopedia, Investopedia, 2023, www.investopedia.com.
[3] "Selling Price and Discount." AccountingTools, AccountingTools, 2023, www.accountingtools.com.

Keywords

Marked price
Discount
Selling price
Formula
Commerce
Finance
Mathematics

Introduction

In our previous article, we explored how to express the selling price in terms of the marked price and discount using the formula SP = MP(1 - D/100). In this article, we will answer some frequently asked questions related to the topic.

Q&A

Q1: What is the marked price, and how is it related to the selling price?

A1: The marked price is the original price at which a product is listed. It is the price at which the product is sold before any discounts are applied. The selling price is the price at which the product is sold after a discount has been applied.

Q2: How do I calculate the discount amount?

A2: To calculate the discount amount, you can use the formula D = (MP - SP) / MP * 100. This formula calculates the discount as a percentage of the marked price.

Q3: What is the difference between a fixed discount and a percentage discount?

A3: A fixed discount is a fixed amount deducted from the marked price, while a percentage discount is a percentage of the marked price deducted from the marked price.

Q4: Can I use the formula SP = MP - D if the discount is a percentage?

A4: No, you cannot use the formula SP = MP - D if the discount is a percentage. You need to use the formula SP = MP(1 - D/100) to account for the percentage discount.

Q5: How do I calculate the selling price if the discount is 25%?

A5: To calculate the selling price if the discount is 25%, you can use the formula SP = MP(1 - D/100). Plugging in the values, you get:

MP = 50000 D = 25% = 25/100 = 0.25

SP = MP(1 - D/100) SP = 50000(1 - 0.25) SP = 50000(0.75) SP = 37500

Therefore, the selling price of the product is RS. 37500.

Q6: Can I use the formula SP = MP(1 - D/100) if the marked price is not a whole number?

A6: Yes, you can use the formula SP = MP(1 - D/100) even if the marked price is not a whole number. The formula will give you the correct selling price.

Q7: How do I calculate the discount amount if the selling price is RS. 40000 and the marked price is RS. 50000?

A7: To calculate the discount amount, you can use the formula D = (MP - SP) / MP * 100. Plugging in the values, you get:

MP = 50000 SP = 40000

D = (MP - SP) / MP * 100 D = (50000 - 40000) / 50000 * 100 D = 10000 / 50000 * 100 D = 20%

Therefore, the discount amount is 20%.