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Introduction to Ratios

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Percentage Calculation

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Percentage Calculation

Units and Fractions Percentage Calculation

Courses Overview

🎬 Video Tutorial

(0:01) Percentage Calculation Components: The base value (original amount), percentage rate (relative percentage), and percentage value (calculated absolute amount).
(0:50) Applying Percentage Discount: To find a discount, multiply the base value by the percentage rate. For a £10 item with a 20% discount, the discount is £2, making the final price £8.
(2:13) Increasing BaseValue by Percentage: When prices increase, multiply the base value by the percentage rate and add it back. A £20 item with a 10% increase costs £22 after adding £2.

📂 Revision Cards

Components of percentage calculation explaining the base value (£10), percentage rate (20% discount), and percentage value (£2 reduction). — 1) Percentage Calculation

Calculating percentage rate with an example of a £5 original price, a £2 coupon, and a resulting 40% discount. — 2) Calculating Percentage Rate

Calculation of percentage value showing a £20 base value with a 10% increase, resulting in a £2 increase and a new total of £22. — 3) Calculating Percentage Value

Calculating the base value with a shopping example; spent £35, 70% discount rate, and the base value calculation shown as £50. — 4) Calculating Base Value

🍪 Quiz Time - Practice Now!

0%

Percentage Calculation

1 / 6

Q: A book costs £12 and is sold with a 25% discount. How much do you save?

£3

£6

£2

£4

Feedback: Not quite! The base value is £12, and the percentage rate is 25%. Calculate the percentage value: £12 × 0.25 = £3.

Feedback: Well done! The base value is £12, and the percentage rate is 25%. Calculate the percentage value: £12 × 0.25 = £3.

2 / 6

Q: If a laptop costs £800 and you get a £160 discount, what is the percentage discount?

20%

30%

25%

15%

Feedback: Not quite! To find the percentage discount, divide the discount by the base value: £160 ÷ £800 = 0.20. Multiply by 100 to convert to a percentage: 0.20 × 100 = 20%.

Feedback: Well done! To find the percentage discount, divide the discount by the base value: £160 ÷ £800 = 0.20. Multiply by 100 to convert to a percentage: 0.20 × 100 = 20%.

3 / 6

Q: A shirt originally costs £25 and is now sold at a 20% discount. What is the discounted price?

£25

£17.50

£15

£20

Feedback: Not quite! The base value is £25, and the percentage rate is 20%. Calculate the percentage value: £25 × 0.20 = £5. Subtract the discount: £25 - £5 = £20.

Feedback: Well done! The base value is £25, and the percentage rate is 20%. Calculate the percentage value: £25 × 0.20 = £5. Subtract the discount: £25 - £5 = £20.

4 / 6

Q: A jacket originally priced at £40 is sold with a 25% discount. What is the discounted price?

£28

£30

£32

£25

Feedback: Not quite! The base value is £40, and the percentage rate is 25%. Calculate the percentage value: £40 × 0.25 = £10. Subtract the discount: £40 - £10 = £30.

Feedback: Well done! The base value is £40, and the percentage rate is 25%. Calculate the percentage value: £40 × 0.25 = £10. Subtract the discount: £40 - £10 = £30.

5 / 6

Q: A television originally priced at £450 had its price increased by 20%. What is the new price?

£520

£540

£500

£510

Feedback: Not quite! The base value is £450, and the percentage rate is 20%. Calculate the percentage value: £450 × 0.20 = £90. Add the increase: £450 + £90 = £540.

Feedback: Well done! The base value is £450, and the percentage rate is 20%. Calculate the percentage value: £450 × 0.20 = £90. Add the increase: £450 + £90 = £540.

6 / 6

Q: laptop is sold with a 25% discount, reducing its price to £600. What was the original price?

£850

£800

£750

£900

Feedback: Not quite! The discounted price (£600) represents 75% of the original price because 100% - 25% = 75%. Calculate the base value: £600 ÷ 0.75 = £800.

Feedback: Well done! The discounted price (£600) represents 75% of the original price because 100% - 25% = 75%. Calculate the base value: £600 ÷ 0.75 = £800.

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