Discount and Markup Calculation

Oct 13, 2025 by windailys.com 89 views

Introduction

In the world of business, understanding discounts and markups is crucial for making informed decisions. A pizza shop that sells artwork by local artists is a great example of this concept. In this article, we will explore the scenarios where the pizza shop sells artwork and determine which expression(s) apply to each situation.

Scenario 1: A 15% Discount

The pizza shop sells a piece of artwork for $\$225$ . A customer wants to know the price after a 15% discount. To calculate the discount, we need to multiply the original price by the discount percentage.

Discount Calculation

The discount percentage is 15%, which can be represented as 0.15. To calculate the discount, we multiply the original price by the discount percentage:

\text{Discount} = 225 \times 0.15

Expression A: $(225)(1.15)$

Expression A represents a 15% markup, not a discount. A markup is the amount added to the original price to get the selling price. In this case, the expression $(225)(1.15)$ would represent a 15% increase in the original price, not a discount.

Expression B: $(225)(0.15)$

Expression B represents the correct calculation for a 15% discount. By multiplying the original price by the discount percentage, we get the amount of the discount:

\text{Discount} = 225 \times 0.15 = 33.75

The price after the discount would be:

\text{Price after discount} = 225 - 33.75 = 191.25

Conclusion

In conclusion, the correct expression for a 15% discount is $(225)(0.15)$ . This expression represents the amount of the discount, which is $33.75. The price after the discount would be $191.25.

Scenario 2: A 15% Markup

The pizza shop sells a piece of artwork for $\$225$ . A customer wants to know the price after a 15% markup. To calculate the markup, we need to multiply the original price by the markup percentage.

Markup Calculation

The markup percentage is 15%, which can be represented as 0.15. To calculate the markup, we multiply the original price by the markup percentage:

\text{Markup} = 225 \times 0.15

Expression A: $(225)(1.15)$

Expression A represents a 15% markup, which is the correct calculation for this scenario. By multiplying the original price by the markup percentage, we get the amount of the markup:

\text{Markup} = 225 \times 0.15 = 33.75

The price after the markup would be:

\text{Price after markup} = 225 + 33.75 = 258.75

Expression B: $(225)(0.15)$

Expression B represents a 15% discount, not a markup. This expression would be incorrect for this scenario.

Conclusion

In conclusion, the correct expression for a 15% markup is $(225)(1.15)$ . This expression represents the amount of the markup, which is $33.75. The price after the markup would be $258.75.

Scenario 3: A 15% Discount and a 5% Markup

The pizza shop sells a piece of artwork for $\$225$ . A customer wants to know the price after a 15% discount and a 5% markup. To calculate the discount and markup, we need to multiply the original price by the discount and markup percentages.

Discount and Markup Calculation

The discount percentage is 15%, which can be represented as 0.15. The markup percentage is 5%, which can be represented as 0.05. To calculate the discount and markup, we multiply the original price by the discount and markup percentages:

\text{Discount} = 225 \times 0.15 = 33.75

\text{Markup} = 225 \times 0.05 = 11.25

The price after the discount would be:

\text{Price after discount} = 225 - 33.75 = 191.25

The price after the markup would be:

\text{Price after markup} = 191.25 + 11.25 = 202.50

Expression A: $(225)(1.15)$

Expression A represents a 15% markup, not a discount and markup. This expression would be incorrect for this scenario.

Expression B: $(225)(0.15)$

Expression B represents a 15% discount, not a discount and markup. This expression would be incorrect for this scenario.

Conclusion

In conclusion, the correct expressions for a 15% discount and a 5% markup are $(225)(0.15)$ and $(225)(0.05)$ , respectively. These expressions represent the amount of the discount and markup, which are $33.75 and $11.25, respectively. The price after the discount and markup would be $202.50.

Conclusion

Introduction

In our previous article, we explored the concept of discounts and markups in the context of a pizza shop that sells artwork by local artists. We discussed three scenarios where the pizza shop sells artwork and determined which expression(s) apply to each situation. In this article, we will provide a Q&A guide to help you understand discounts and markups.

Q: What is a discount?

A discount is a reduction in the original price of a product or service. It is a percentage of the original price that is subtracted from the selling price.

A: How do I calculate a discount?

To calculate a discount, you need to multiply the original price by the discount percentage. For example, if the original price is $\$225$ and the discount percentage is 15%, the discount would be:

\text{Discount} = 225 \times 0.15 = 33.75

Q: What is a markup?

A markup is an increase in the original price of a product or service. It is a percentage of the original price that is added to the selling price.

A: How do I calculate a markup?

To calculate a markup, you need to multiply the original price by the markup percentage. For example, if the original price is $\$225$ and the markup percentage is 15%, the markup would be:

\text{Markup} = 225 \times 0.15 = 33.75

Q: How do I calculate the price after a discount and a markup?

To calculate the price after a discount and a markup, you need to subtract the discount from the original price and then add the markup to the result. For example, if the original price is $\$225$ , the discount is 15%, and the markup is 5%, the price after the discount and markup would be:

\text{Price after discount} = 225 - 33.75 = 191.25

\text{Price after markup} = 191.25 + 11.25 = 202.50

Q: What is the difference between a discount and a markup?

A discount is a reduction in the original price of a product or service, while a markup is an increase in the original price of a product or service.

Q: How do I determine which expression to use for a discount or a markup?

To determine which expression to use for a discount or a markup, you need to look at the percentage sign. If the percentage sign is positive, it represents a markup. If the percentage sign is negative, it represents a discount.

Q: Can I use a discount and a markup together?

Yes, you can use a discount and a markup together. To calculate the price after a discount and a markup, you need to subtract the discount from the original price and then add the markup to the result.

Q: What is the most expensive piece of artwork sold by the pizza shop?

According to our previous article, the most expensive piece of artwork sold by the pizza shop was priced at $\$225$ .

Conclusion

In conclusion, understanding discounts and markups is crucial for making informed decisions in business. By using the correct expressions, you can calculate the price after a discount or a markup. We hope this Q&A guide has helped you understand discounts and markups better.

Frequently Asked Questions

Q: What is a discount?
A: A discount is a reduction in the original price of a product or service.
Q: How do I calculate a discount?
A: To calculate a discount, you need to multiply the original price by the discount percentage.
Q: What is a markup?
A: A markup is an increase in the original price of a product or service.
Q: How do I calculate a markup?
A: To calculate a markup, you need to multiply the original price by the markup percentage.
Q: How do I calculate the price after a discount and a markup?
A: To calculate the price after a discount and a markup, you need to subtract the discount from the original price and then add the markup to the result.
Q: What is the difference between a discount and a markup?
A: A discount is a reduction in the original price of a product or service, while a markup is an increase in the original price of a product or service.
Q: How do I determine which expression to use for a discount or a markup?
A: To determine which expression to use for a discount or a markup, you need to look at the percentage sign. If the percentage sign is positive, it represents a markup. If the percentage sign is negative, it represents a discount.
Q: Can I use a discount and a markup together?
A: Yes, you can use a discount and a markup together.
Q: What is the most expensive piece of artwork sold by the pizza shop?
A: According to our previous article, the most expensive piece of artwork sold by the pizza shop was priced at $\$225$ .