Discounts and best buys
This page focuses on using percentages within problem solving. Take a look at Fraction and percentage in order to recap percentages.
Dylan鈥檚 Deli reduces their sandwiches by 30% at 3pm. Calculate the cost of these sandwiches after 3pm:
- a ham sandwich, which originally cost 拢2.50
- a falafel sandwich, which cost 拢4
Ham sandwich
1. Find 30% of 拢2.50:
拢2.50 梅 100 脳 30 = 拢0.75
So there is a discount of 75p.
2. Subtract the discount from the original value:
拢2.50 - 拢0.75 = 拢1.75
The discounted ham sandwich costs 拢1.75p.
Falafel sandwich
拢4 梅 100 脳 30 = 拢1.20
拢4 - 拢1.20 = 拢2.80
The discounted falafel sandwich costs 拢2.80p.
You may notice that the falafel sandwich has a bigger discount. This is because the original price was higher.
There is an alternative way of calculating this. Sandwich prices are reduced by 30% which means that the reduced price is 70% of the original price.
Ham sandwich
70% of 拢2.50 = 拢2.50 梅 100 脳 70 = 拢1.75
Falafel sandwich
70% of 拢4.00 = 拢4.00 梅 100 脳 70 = 拢2.80
Question
Top TV has a 拢400 television on sale reduced by 拢80. Attic Appliances has the same TV originally priced at 拢350 with a 22% reduction. Who has reduced the TV by more and which TV is now cheaper?
| Reduction | Sale price | |
| Top TV | 拢80 | 拢400 - 拢80 = 拢320 |
| Attic Appliances | 拢350 梅 100 脳 22 = 拢77 | 拢350 - 拢77 = 拢273 |
| Top TV | |
| Reduction | 拢80 |
| Sale price | 拢400 - 拢80 = 拢320 |
| Attic Appliances | |
| Reduction | 拢350 梅 100 脳 22 = 拢77 |
| Sale price | 拢350 - 拢77 = 拢273 |
Top TV reduced their TV by a larger amount but the TV is cheaper at Attic Appliances.
There is an alternative way of calculating the price at Attic Appliances.
The price is reduced by 22% which means that the reduced price is 78% of the original price.
78% of 拢350 = 拢350 梅 100 脳 78 = 拢273