The Price Of A Pair Of Trousers Is Reduced By $8.5%$ In A Sale. The Original Price Of The Trousers Was £ 56 £56 £56 .Work Out The Sale Price Of The Trousers. Give Your Answer In Pounds ( £ (£ ( £ ].

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Introduction

When shopping in a sale, it's essential to understand how discounts work to get the best deal. In this article, we'll explore how to calculate the sale price of a pair of trousers after a reduction in price. We'll use a real-life example to demonstrate the process, and by the end of this article, you'll be able to work out the sale price of any item with a percentage discount.

Original Price of the Trousers

The original price of the trousers is £56. This is the price before any discount is applied.

Discount Percentage

The price of the trousers is reduced by 8.5% in the sale. This means that the discount is 8.5% of the original price.

Calculating the Discount

To calculate the discount, we need to find 8.5% of £56. We can do this by multiplying £56 by 0.085 (which is the decimal equivalent of 8.5%).

£56 × 0.085 = £4.78

Sale Price of the Trousers

The sale price of the trousers is the original price minus the discount. We can calculate this by subtracting the discount from the original price.

£56 - £4.78 = £51.22

Conclusion

In this article, we've calculated the sale price of a pair of trousers after a reduction in price. We've used a real-life example to demonstrate the process, and by the end of this article, you should be able to work out the sale price of any item with a percentage discount.

Understanding Percentage Discounts

Percentage discounts are a common way to reduce the price of an item. To understand how they work, let's break down the calculation:

  • Original Price: This is the price of the item before any discount is applied.
  • Discount Percentage: This is the percentage of the original price that is deducted.
  • Discount: This is the amount deducted from the original price.
  • Sale Price: This is the price of the item after the discount is applied.

Calculating Percentage Discounts

To calculate a percentage discount, you need to multiply the original price by the discount percentage (as a decimal). Then, subtract the discount from the original price to get the sale price.

Example 2: Calculating a Percentage Discount

Suppose the original price of a pair of shoes is £80, and the discount is 12%. How much will you pay for the shoes in the sale?

Step 1: Convert the Discount Percentage to a Decimal

12% = 0.12 (as a decimal)

Step 2: Calculate the Discount

£80 × 0.12 = £9.60

Step 3: Calculate the Sale Price

£80 - £9.60 = £70.40

Conclusion

In this article, we've explored how to calculate the sale price of an item with a percentage discount. We've used real-life examples to demonstrate the process, and by the end of this article, you should be able to work out the sale price of any item with a percentage discount.

Common Percentage Discounts

Percentage discounts are a common way to reduce the price of an item. Here are some common percentage discounts:

  • 10% off: This is a common discount offered in sales and promotions.
  • 20% off: This is a more significant discount that can be offered in special promotions.
  • 50% off: This is a substantial discount that can be offered in clearance sales or special promotions.

Calculating Percentage Discounts with Different Original Prices

To calculate a percentage discount with a different original price, you need to multiply the original price by the discount percentage (as a decimal). Then, subtract the discount from the original price to get the sale price.

Example 3: Calculating a Percentage Discount with a Different Original Price

Suppose the original price of a pair of jeans is £120, and the discount is 15%. How much will you pay for the jeans in the sale?

Step 1: Convert the Discount Percentage to a Decimal

15% = 0.15 (as a decimal)

Step 2: Calculate the Discount

£120 × 0.15 = £18.00

Step 3: Calculate the Sale Price

£120 - £18.00 = £102.00

Conclusion

In this article, we've explored how to calculate the sale price of an item with a percentage discount. We've used real-life examples to demonstrate the process, and by the end of this article, you should be able to work out the sale price of any item with a percentage discount.

Tips for Calculating Percentage Discounts

Here are some tips for calculating percentage discounts:

  • Use a calculator: To make calculations easier, use a calculator to multiply the original price by the discount percentage (as a decimal).
  • Check your work: Double-check your calculations to ensure that you get the correct sale price.
  • Use a formula: You can use a formula to calculate the sale price: Sale Price = Original Price - (Original Price × Discount Percentage).

Conclusion

Q: What is a percentage discount?

A: A percentage discount is a reduction in the price of an item, expressed as a percentage of the original price.

Q: How do I calculate a percentage discount?

A: To calculate a percentage discount, you need to multiply the original price by the discount percentage (as a decimal). Then, subtract the discount from the original price to get the sale price.

Q: What is the formula for calculating a percentage discount?

A: The formula for calculating a percentage discount is: Sale Price = Original Price - (Original Price × Discount Percentage)

Q: How do I convert a percentage to a decimal?

A: To convert a percentage to a decimal, you need to divide the percentage by 100. For example, 10% = 0.10 (as a decimal).

Q: Can I use a calculator to calculate a percentage discount?

A: Yes, you can use a calculator to make calculations easier. Simply multiply the original price by the discount percentage (as a decimal), and then subtract the discount from the original price.

Q: What if I have a discount of 25% off a price of £100? How much will I pay?

A: To calculate the sale price, you need to multiply £100 by 0.25 (which is the decimal equivalent of 25%). Then, subtract the discount from the original price.

£100 × 0.25 = £25.00

£100 - £25.00 = £75.00

Q: What if I have a discount of 15% off a price of £150? How much will I pay?

A: To calculate the sale price, you need to multiply £150 by 0.15 (which is the decimal equivalent of 15%). Then, subtract the discount from the original price.

£150 × 0.15 = £22.50

£150 - £22.50 = £127.50

Q: Can I use a percentage discount on a price that is already discounted?

A: Yes, you can use a percentage discount on a price that is already discounted. However, you need to calculate the discount on the discounted price, not the original price.

Q: What if I have a discount of 10% off a price of £80, and the price is already discounted by 20%? How much will I pay?

A: To calculate the sale price, you need to first calculate the discount on the discounted price. The original price is £80, and the price is already discounted by 20%. So, the discounted price is £80 - (£80 × 0.20) = £64.

Then, you need to calculate the discount on the discounted price. The discount is 10% of £64, which is £6.40.

Finally, you need to subtract the discount from the discounted price to get the sale price.

£64 - £6.40 = £57.60

Q: Can I use a percentage discount on a price that is free?

A: No, you cannot use a percentage discount on a price that is free. A percentage discount is a reduction in the price of an item, and if the item is free, there is no price to reduce.

Conclusion

In this article, we've answered some frequently asked questions about calculating percentage discounts. We've provided examples and explanations to help you understand how to calculate a percentage discount.