Successive Discounts Of 20% And 10% Are Taken On An Item Priced At $16. Describe How To Find The Sale Price Of The Item And Give The Sale Price.
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Introduction
Discounts are a common phenomenon in the retail industry, where customers can purchase items at a reduced price. However, when successive discounts are applied to an item, the calculation of the final sale price can become complex. In this article, we will explore how to find the sale price of an item when successive discounts of 20% and 10% are applied.
Understanding Successive Discounts
A successive discount is a discount that is applied to the price of an item after another discount has already been applied. In the case of the item priced at $16, a 20% discount is applied first, followed by a 10% discount.
Step 1: Apply the First Discount (20%)
To apply the first discount of 20%, we need to calculate 20% of the original price of $16.
20% of $16 = 0.20 x $16 = $3.20
The amount of the discount is $3.20, so we subtract this from the original price to get the price after the first discount.
$16 - $3.20 = $12.80
Step 2: Apply the Second Discount (10%)
Now that we have the price after the first discount, we can apply the second discount of 10%. To do this, we need to calculate 10% of the price after the first discount.
10% of $12.80 = 0.10 x $12.80 = $1.28
The amount of the second discount is $1.28, so we subtract this from the price after the first discount to get the final sale price.
$12.80 - $1.28 = $11.52
Conclusion
In conclusion, when successive discounts of 20% and 10% are applied to an item priced at $16, the final sale price is $11.52. This is calculated by first applying a 20% discount to the original price, resulting in a price of $12.80, and then applying a 10% discount to the price after the first discount, resulting in a final sale price of $11.52.
Example Use Case
This calculation can be applied to any item that has successive discounts applied to it. For example, if a store is having a sale where items are discounted by 20% and then an additional 10% off the discounted price, the final sale price can be calculated using the same steps.
Tips and Tricks
- When applying successive discounts, it's essential to calculate the discount amount after each discount is applied.
- Make sure to subtract the discount amount from the price after each discount is applied.
- Successive discounts can be applied to any item, not just the one priced at $16.
Common Mistakes
- Not calculating the discount amount after each discount is applied.
- Not subtracting the discount amount from the price after each discount is applied.
- Applying the discounts in the wrong order.
Final Thoughts
Successive discounts can be complex to calculate, but by following the steps outlined in this article, you can find the final sale price of an item. Remember to calculate the discount amount after each discount is applied and subtract the discount amount from the price after each discount is applied. With practice, you'll become proficient in calculating successive discounts and be able to apply them to any item.
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Introduction
In our previous article, we explored how to find the sale price of an item when successive discounts of 20% and 10% are applied. However, we understand that there may be many questions and concerns about successive discounts. In this article, we will address some of the most frequently asked questions about successive discounts.
Q&A
Q: What is a successive discount?
A: A successive discount is a discount that is applied to the price of an item after another discount has already been applied.
Q: How do I calculate the sale price of an item with successive discounts?
A: To calculate the sale price of an item with successive discounts, you need to follow these steps:
- Calculate the discount amount after the first discount is applied.
- Subtract the discount amount from the price after the first discount to get the price after the second discount.
- Calculate the discount amount after the second discount is applied.
- Subtract the discount amount from the price after the second discount to get the final sale price.
Q: What if the discounts are applied in a different order?
A: If the discounts are applied in a different order, you need to recalculate the sale price using the new order of discounts.
Q: Can I apply more than two successive discounts?
A: Yes, you can apply more than two successive discounts. However, the calculation becomes more complex, and you need to follow the same steps as before.
Q: How do I handle discounts that are not percentages?
A: If the discounts are not percentages, you need to convert them to percentages before applying them. For example, if a discount is 15% off the original price, you need to calculate 15% of the original price and subtract it from the original price.
Q: Can I apply successive discounts to a price that has already been discounted?
A: Yes, you can apply successive discounts to a price that has already been discounted. However, you need to calculate the discount amount after each discount is applied and subtract it from the price after each discount is applied.
Q: How do I handle discounts that are applied to a price that has already been discounted by a certain percentage?
A: If a discount is applied to a price that has already been discounted by a certain percentage, you need to calculate the discount amount after the first discount is applied and subtract it from the price after the first discount. Then, you need to calculate the discount amount after the second discount is applied and subtract it from the price after the second discount.
Q: Can I use a calculator to calculate successive discounts?
A: Yes, you can use a calculator to calculate successive discounts. However, you need to make sure that the calculator is set to the correct mode (e.g., percentage mode) and that you are entering the correct values.
Example Use Cases
- A store is having a sale where items are discounted by 20% and then an additional 10% off the discounted price. The original price of the item is $100.
- A customer buys an item that is originally priced at $50 and is discounted by 15% and then an additional 5% off the discounted price.
- A store is having a sale where items are discounted by 25% and then an additional 15% off the discounted price. The original price of the item is $75.
Tips and Tricks
- Make sure to calculate the discount amount after each discount is applied.
- Subtract the discount amount from the price after each discount is applied.
- Successive discounts can be applied to any item, not just the ones mentioned in the example use cases.
Common Mistakes
- Not calculating the discount amount after each discount is applied.
- Not subtracting the discount amount from the price after each discount is applied.
- Applying the discounts in the wrong order.
Final Thoughts
Successive discounts can be complex to calculate, but by following the steps outlined in this article, you can find the final sale price of an item. Remember to calculate the discount amount after each discount is applied and subtract the discount amount from the price after each discount is applied. With practice, you'll become proficient in calculating successive discounts and be able to apply them to any item.