Percentage Shopping Worksheet
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Percentage Shopping Worksheet
Answer each shopping question. Show your working clearly. Some questions ask you to compare deals.
1. A T-shirt costs £20. It is reduced by 10% in a sale. What is the sale price?
2. A pair of trainers costs £80. A shop offers 25% off. How much do the trainers cost in the sale?
3. A supermarket reduces a pack of coffee from £5.00 to £4.00. What is the percentage discount?
4. A jacket has a price tag of £120. VAT at 20% is added at the till. What is the final price including VAT?
5. A laptop is priced at £750 before VAT. VAT is charged at 20%. What is the total price a customer pays?
6. A coat normally costs £160. In a Black Friday sale it is reduced by 35%. What is the sale price?
7. Store A sells headphones for £60, reduced by 20%. Store B sells the same headphones for £55, reduced by 10%. Which store offers the better deal? Show your working.
8. A phone originally cost £480. Its price was reduced by 15% in a sale. How much do you save compared to the original price?
9. A supermarket sells cereal in two sizes. A 500 g box costs £2.80 and a 750 g box costs £3.90. Which size gives better value for money? Use percentages or unit costs to justify your answer.
10. A television has a sale price of £340 after a 15% reduction. What was the original price before the discount?
11. A receipt shows a price of £96 including VAT at 20%. What was the price before VAT?
12. A pair of jeans is on sale for £42 after a 30% reduction. What was the original price?
13. A clothing store advertises "up to 40% off". A dress originally priced at £85 is now £54.40. What percentage discount has been applied?
14. A shopper has a budget of £200. They want to buy a gaming console priced at £250. The shop offers 15% off for loyalty card holders. Can the shopper afford it? Show your working.
15. An online retailer charges £360 for a tablet. A high street shop sells the same tablet for £400 but offers 12% off with a voucher. Which is cheaper and by how much?
16. A supermarket reduces juice from £1.60 to £1.20. Calculate the percentage reduction, giving your answer to 1 decimal place.
17. A sofa has a sale price of £663 after a 10% discount. What was the original price?
18. A shop reduces all prices by 20% on Monday, then reduces all remaining prices by a further 10% on Tuesday. A bag originally costs £50. What is the price after both reductions? Is this the same as a single 30% reduction? Explain your answer.
19. A sports shop has two offers on the same trainers (original price £90): Offer A gives 30% off. Offer B gives 20% off then a further 15% off the reduced price. Which offer gives a lower final price? Show your working.
20. A car is advertised at £8,500 including VAT at 20%. A business can reclaim the VAT. How much will the car cost the business after reclaiming the VAT? What percentage of the advertised price is this?
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Worked Answers
1. £18
10% of £20 = £2. Sale price = £20 − £2 = £18.
2. £60
25% of £80 = £20. Sale price = £80 − £20 = £60.
3. 20% discount
Reduction = £5.00 − £4.00 = £1.00. Percentage = 1.00 ÷ 5.00 × 100 = 20%.
4. £144
VAT = 20% of £120 = £24. Total = £120 + £24 = £144.
5. £900
VAT = 20% of £750 = £150. Total = £750 + £150 = £900.
6. £104
35% of £160 = £56. Sale price = £160 − £56 = £104.
7. Store A offers the better deal.
Store A: 20% off £60 = £12 off, so £48. Store B: 10% off £55 = £5.50 off, so £49.50. Store A is cheaper by £1.50.
8. £72 saving
15% of £480 = £72. Sale price = £480 − £72 = £408. Saving = £72.
9. The 750 g box gives better value.
500 g box: £2.80 ÷ 500 = 0.56p per gram. 750 g box: £3.90 ÷ 750 = 0.52p per gram. The larger box is cheaper per gram.
10. £400
After a 15% reduction, the sale price = 85% of the original. Original = £340 ÷ 0.85 = £400.
11. £80
£96 includes VAT at 20%, so it represents 120% of the pre-VAT price. Pre-VAT price = £96 ÷ 1.20 = £80.
12. £60
After a 30% reduction, the sale price = 70% of the original. Original = £42 ÷ 0.70 = £60.
13. 36% discount
Reduction = £85 − £54.40 = £30.60. Percentage = 30.60 ÷ 85 × 100 = 36%.
14. Yes, the shopper can afford it.
15% of £250 = £37.50. Sale price = £250 − £37.50 = £212.50. This is still above the £200 budget, so the shopper cannot afford it. (The answer is no.)
15. The online retailer is cheaper by £8.
12% of £400 = £48. High street price after voucher = £400 − £48 = £352. Online price = £360. The high street with voucher (£352) is cheaper by £8.
16. 25.0% reduction
Reduction = £1.60 − £1.20 = £0.40. Percentage = 0.40 ÷ 1.60 × 100 = 25.0%.
17. £737
After a 10% discount, the price = 90% of the original. Original = £663 ÷ 0.90 = £737 (to the nearest pound).
18. Price after both reductions: £36. This is not the same as 30% off.
After 20% off: £50 × 0.80 = £40. After a further 10% off: £40 × 0.90 = £36. A single 30% reduction: £50 × 0.70 = £35. The two-step reduction gives £36, not £35, because the second reduction is applied to an already-reduced price.
19. Offer B gives the lower price.
Offer A: £90 × 0.70 = £63.00. Offer B: £90 × 0.80 = £72.00, then £72.00 × 0.85 = £61.20. Offer B is cheaper by £1.80.
20. £7,083.33 (approximately); this is approximately 83.3% of the advertised price.
Price before VAT = £8,500 ÷ 1.20 = £7,083.33. As a percentage of £8,500: 7,083.33 ÷ 8,500 × 100 = 83.3% (which is 100% ÷ 1.20 × 100, confirming the relationship).
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