Implications of Selling at a Discount

Oct 13, 2025 by magicalceylontours.com 125 views

Finding the Selling Price of a Fan: A Mathematical Approach

In the world of commerce, determining the selling price of a product is a crucial task that involves various factors, including the cost price, profit margin, and discount. In this article, we will explore the concept of finding the selling price of a fan using a mathematical formula. We will also discuss the implications of selling the fan at a discount and how it affects the cost price.

Understanding the Formula

The formula to find the selling price of a fan is given by:

SP = MP - D \% \text{ of } MP

Where:

$SP$ is the selling price
$MP$ is the marked price (or the cost price)
$D \%$ is the discount percentage

Breaking Down the Formula

Let's break down the formula to understand its components:

Marked Price (MP): The marked price is the price at which the fan is initially priced. It is also known as the cost price.
Discount Percentage (D %): The discount percentage is the percentage by which the marked price is reduced to arrive at the selling price.
Selling Price (SP): The selling price is the final price at which the fan is sold to the customer.

Applying the Formula

Now, let's apply the formula to find the selling price of the fan.

Given Data

Marked Price (MP) = 1800
Discount Percentage (D %) = 25%

Calculating the Selling Price

Using the formula, we can calculate the selling price as follows:

SP = MP - D \% \text{ of } MP

SP = 1800 - (25\% \text{ of } 1800)

SP = 1800 - (0.25 \times 1800)

SP = 1800 - 450

SP = 1350

Therefore, the selling price of the fan is 1350.

Implications of Selling at a Discount

If the fan is sold at a discount of 25%, it means that the customer is paying 75% of the marked price (1800). This implies that the customer is paying 75% of the cost price, which is 1350.

In conclusion, the selling price of a fan can be found using the formula:

SP = MP - D \% \text{ of } MP

Where:

$SP$ is the selling price
$MP$ is the marked price (or the cost price)
$D \%$ is the discount percentage

By applying this formula, we can determine the selling price of the fan, taking into account the discount percentage. This is an essential concept in commerce, as it helps businesses to set prices that are competitive and profitable.

Additional Tips and Variations

Multiple Discounts: If the fan is sold with multiple discounts, the formula can be modified to account for each discount separately.
Discount on Discount: If the discount is applied on the discount itself, the formula can be modified to account for this additional discount.
Percentage of Discount: If the discount is a percentage of the marked price, the formula can be modified to account for this percentage.

By understanding the formula and its implications, businesses can make informed decisions about pricing their products and services, ultimately leading to increased sales and revenue.
Frequently Asked Questions (FAQs) on Finding the Selling Price of a Fan

In our previous article, we explored the concept of finding the selling price of a fan using a mathematical formula. We also discussed the implications of selling the fan at a discount and how it affects the cost price. In this article, we will answer some frequently asked questions (FAQs) related to finding the selling price of a fan.

Q1: What is the formula to find the selling price of a fan?

A1: The formula to find the selling price of a fan is:

SP = MP - D \% \text{ of } MP

Where:

$SP$ is the selling price
$MP$ is the marked price (or the cost price)
$D \%$ is the discount percentage

Q2: What is the marked price (MP) in the formula?

A2: The marked price (MP) is the price at which the fan is initially priced. It is also known as the cost price.

Q3: What is the discount percentage (D %) in the formula?

A3: The discount percentage (D %) is the percentage by which the marked price is reduced to arrive at the selling price.

Q4: How do I calculate the selling price if the discount percentage is 25%?

A4: To calculate the selling price, you can use the formula:

SP = MP - (D \% \text{ of } MP)

Where:

$SP$ is the selling price
$MP$ is the marked price (or the cost price)
$D \%$ is the discount percentage (25% in this case)

For example, if the marked price is 1800 and the discount percentage is 25%, the selling price would be:

SP = 1800 - (25\% \text{ of } 1800)

SP = 1800 - (0.25 \times 1800)

SP = 1800 - 450

SP = 1350

Therefore, the selling price of the fan is 1350.

Q5: What happens if the fan is sold at a discount of 25% and the cost price is 1800?

A5: If the fan is sold at a discount of 25% and the cost price is 1800, the selling price would be:

SP = 1800 - (25\% \text{ of } 1800)

SP = 1800 - (0.25 \times 1800)

SP = 1800 - 450

SP = 1350

Therefore, the selling price of the fan is 1350.

Q6: Can I use the formula to find the selling price if the discount percentage is not 25%?

A6: Yes, you can use the formula to find the selling price if the discount percentage is not 25%. Simply replace the discount percentage (25%) with the actual discount percentage.

For example, if the discount percentage is 30%, the selling price would be:

SP = MP - (30\% \text{ of } MP)

Where:

$SP$ is the selling price
$MP$ is the marked price (or the cost price)
$D \%$ is the discount percentage (30% in this case)

Q7: What is the implication of selling the fan at a discount?

A7: The implication of selling the fan at a discount is that the customer is paying a lower price than the marked price. This means that the customer is paying a percentage of the marked price, which is the selling price.

For example, if the marked price is 1800 and the selling price is 1350, the customer is paying 75% of the marked price (1350/1800 = 0.75).

Q8: Can I use the formula to find the selling price if the marked price is not 1800?

A8: Yes, you can use the formula to find the selling price if the marked price is not 1800. Simply replace the marked price (1800) with the actual marked price.

For example, if the marked price is 2000 and the discount percentage is 25%, the selling price would be:

SP = 2000 - (25\% \text{ of } 2000)

SP = 2000 - (0.25 \times 2000)

SP = 2000 - 500

SP = 1500

Therefore, the selling price of the fan is 1500.

In conclusion, finding the selling price of a fan using a mathematical formula is a straightforward process. By understanding the formula and its implications, businesses can make informed decisions about pricing their products and services, ultimately leading to increased sales and revenue.