Understanding Sale Prices

What is a Sale Price?

A sale price is the amount of money you pay for an item after a discount has been applied. When a shop puts items on sale, they often reduce the original price to attract more customers.

How to Calculate Sale Prices

To find the sale price, you need to know two things:

  1. The original price of the item.
  2. The discount percentage.

Step-by-Step Process:

  1. Find the discount amount:To do this, you multiply the original price by the discount percentage (as a decimal). \text{Discount Amount} = \text{Original Price} \times \left(\frac{\text{Discount Percentage}}{100}\right)
  2. Calculate the sale price:Subtract the discount amount from the original price. \text{Sale Price} = \text{Original Price} – \text{Discount Amount}

Example

Let’s say a jacket costs £40 and is on sale for 25% off.

  1. Calculate the discount amount:
    • Convert 25% to decimal: \frac{25}{100} = 0.25
    • Now, multiply:
    \text{Discount Amount} = £40 \times 0.25 = £10
  2. Calculate the sale price: \text{Sale Price} = £40 – £10 = £30

So, the jacket will cost you £30 during the sale!

Key Rules to Remember

  • Always convert the percentage to a decimal before calculating.
  • Subtract the discount amount from the original price to find the sale price.
  • Double-check your calculations to avoid mistakes.

Tips and Tricks

  • Use a calculator: It can help you quickly find percentages and do the math.
  • Practice with real prices: Look at items around you and try calculating the sale prices for fun!
  • Create a chart: Make a chart with different original prices and discount percentages to see how the sale prices change.

Practice Questions

Easy Level Questions

  1. If a book costs £10 and is 10% off, what is the sale price?
  2. A toy is originally £15 and has a 20% discount. What is the sale price?
  3. A shirt costs £25 with a 50% discount. What will you pay?
  4. If a pair of shoes is £30 and is on sale for 10% off, what is the new price?
  5. A bag is originally £50 and is on sale for 40% off. What do you pay?
  6. A game that costs £20 is now 25% off. What is the sale price?
  7. A jacket worth £60 is discounted by 30%. What will it cost?
  8. If an item is £80 and has a 15% discount, what is the sale price?
  9. A watch costs £45 and is 20% off. What is the sale price?
  10. If a dress is £35 and there is a 10% discount, how much do you pay?

Medium Level Questions

  1. What is the sale price of a £70 TV with a 20% discount?
  2. If a laptop costs £500 and has a 10% discount, what is the sale price?
  3. A bicycle costs £120 and is 25% off. How much do you pay?
  4. A sofa costs £800 and is discounted by 15%. What is the new price?
  5. What will you pay for a £90 coat with a 30% discount?
  6. A printer priced at £150 is on sale for 20% off. Find the sale price.
  7. If a phone costs £600 and is discounted by 5%, what is the sale price?
  8. A pair of glasses costs £180 with a 10% discount. What do you pay?
  9. If a tablet is £300 and has a 15% discount, what is the sale price?
  10. A bicycle originally costs £250 and is now 40% off. What do you pay?

Hard Level Questions

  1. Find the sale price of a £2500 sofa with a 35% discount.
  2. If a car is £15,000 and has a 20% discount, what is the sale price?
  3. A computer originally costs £800 and is discounted by 25%. What do you pay?
  4. If a luxury watch costs £1200 and is on sale for 50% off, what is the sale price?
  5. A piece of furniture costs £950 and has a 10% discount. What is the new price?
  6. A set of golf clubs is £400 and is discounted by 15%. What do you pay?
  7. If a holiday package costs £2000 and has a 12% discount, what is the sale price?
  8. A high-end camera worth £700 is 30% off. What do you pay?
  9. If a smartphone costs £999 and is discounted by 10%, what is the sale price?
  10. A designer handbag costs £1200 and has a 25% discount. What is the new price?

Answers

Easy Level Answers

  1. £9
  2. £12
  3. £12.50
  4. £27
  5. £30
  6. £15
  7. £42
  8. £68
  9. £36
  10. £31.50

Medium Level Answers

  1. £56
  2. £450
  3. £90
  4. £680
  5. £63
  6. £120
  7. £570
  8. £162
  9. £255
  10. £150

Hard Level Answers

  1. £1625
  2. £12000
  3. £600
  4. £600
  5. £855
  6. £340
  7. £1760
  8. £490
  9. £899.10
  10. £900

By practicing these questions and using the steps we discussed, you will become more confident in calculating sale prices! Happy learning!