Double Discounts Worksheet Answers: Your Complete Guide
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Double discounts can be a confusing topic for many people, especially when dealing with percentages and calculations. This guide aims to demystify double discounts and provide you with a comprehensive understanding of how to solve double discount problems, specifically focusing on worksheet answers. So, let's dive into the world of discounts! 💰
What is a Double Discount?
A double discount refers to a situation where an item is subject to two separate discount rates, applied successively rather than simultaneously. For example, if a jacket has a base price of $100, and it’s on sale for 20% off and then an additional 10% off, the final price isn’t simply 30% off the original price. Instead, each discount is applied to the already discounted price.
How to Calculate Double Discounts
To understand how to calculate double discounts, we can break the process down into two main steps:
-
Calculate the first discount:
- Take the original price and multiply it by the first discount percentage.
- Subtract the first discount from the original price.
-
Calculate the second discount:
- Take the new price after the first discount and multiply it by the second discount percentage.
- Subtract the second discount from the new price.
Let’s illustrate this with an example.
Example Calculation
Original Price: $100
First Discount: 20%
Second Discount: 10%
Step-by-Step Calculation
-
First Discount:
- First discount amount = 20% of $100 = $100 * 0.20 = $20
- New price after first discount = $100 - $20 = $80
-
Second Discount:
- Second discount amount = 10% of $80 = $80 * 0.10 = $8
- New price after second discount = $80 - $8 = $72
Thus, the final price after both discounts is $72.
| Step | Calculation | Amount |
|---|---|---|
| Original Price | $100 | |
| First Discount (20%) | $100 * 0.20 | $20 |
| Price after First Discount | $100 - $20 | $80 |
| Second Discount (10%) | $80 * 0.10 | $8 |
| Final Price | $80 - $8 | $72 |
Common Mistakes in Double Discounts
Here are some common mistakes to avoid when calculating double discounts:
-
Adding Percentages: People often think they can simply add the discount percentages together. For instance, assuming a total discount of 30% from a 20% and 10% discount is incorrect. Each discount affects the price at different stages.
-
Forgetting the Order: Always apply the discounts in the order they are given. Changing the order can lead to different results.
-
Neglecting the Decimal Form: Remember to convert percentages into their decimal form (e.g., 20% = 0.20) before performing calculations.
Practice Problems
To enhance your understanding, here are a few practice problems. Try solving them on your own!
-
A shirt is priced at $50, with a first discount of 15% and a second discount of 5%. What is the final price?
-
A pair of shoes costs $80. If there is a 25% discount followed by an additional 10% discount, what is the final price?
-
A television is originally priced at $500. With a 30% discount and then a 20% discount, what will you pay for the television?
Answers to Practice Problems
| Problem | Original Price | First Discount | Price After First Discount | Second Discount | Final Price |
|---|---|---|---|---|---|
| 1. Shirt | $50 | $7.50 | $42.50 | $2.13 | $40.37 |
| 2. Shoes | $80 | $20 | $60 | $6 | $54 |
| 3. Television | $500 | $150 | $350 | $70 | $280 |
Important Notes
Remember: Always break down the calculations step by step. This not only reduces the chance of errors but also reinforces your understanding of how double discounts work.
Why Understanding Double Discounts is Important
Understanding how to calculate double discounts is crucial for effective budgeting and financial planning. Whether you’re shopping for deals or working in a retail environment, grasping the concept can save you money and provide better insights into pricing strategies.
Final Thoughts
Double discounts may initially appear challenging, but with practice and understanding, anyone can master the calculations involved. Use this guide as a resource to navigate double discount scenarios with ease. Start practicing with real-life examples, and soon you'll be a pro at spotting the best deals! Happy shopping! 🛒