Percentages

1
Percentages

• Discounts

2
Convert to decimals

1. 30
2. 4
3. 525
4. 42
5. 6.5
6. 456
7. 7.2

1. 0.3
2. 0.04
3. 5.25
4. 0.42
5. 0.065
6. 4.56
7. 0.072

3
Find the following

1. 30 of 23
2. 4 of 435
3. 525 of 36
4. 42 of 7.50
5. 6.5 of 19.40
6. 456 of 540
7. 7.2 of 78

1. 6.90
2. 17.4
3. 189
4. 3.15
5. 1.26
6. 2462.40
7. 5.62

4
Find the percentage that

1. 42 is of 348
2. 54 is of 487
3. 3 is of 17
4. 47 is of 49
5. 18 is of 190

1. 12
2. 11
3. 17.6
4. 96
5. 9.5

5
This stove normally costs 907

• The shop offers a 11 discount.
• How much do you save if you buy this stove?
• How much do you pay if you buy this stove?

6
This car normally costs 320 000.

• The shop offers a 9 discount.
• How much do you save if you buy this car?
• How much do you pay if you buy this car?

7
This VCR normally costs 250.

• The shop offers a 12 discount.
• How much do you save if you buy this VCR?
• How much do you pay if you buy this VCR?

8
This suit normally costs 314.

• The shop offers a 30 discount.
• How much do you save if you buy this suit?
• How much do you pay if you buy this suit?

9
This divan normally costs 864.

• The shop offers a 16 discount.
• How much do you save if you buy this divan?
• How much do you pay if you buy this divan?

10
This truck normally costs 34 000.

• The shop offers a 14 discount.
• How much do you save if you buy this truck?
• How much do you pay if you buy this truck?

11
This book normally costs 64.

• The shop offers a 11 discount.
• How much do you save if you buy this book?
• How much do you pay if you buy this book?

12
This t-shirt normally costs 35.

• The shop offers a 25 discount.
• How much do you save if you buy this shirt?
• How much do you pay if you buy this shirt?

13
This pair of trousers normally cost 89.

• The shop offers a 22 discount.
• How much do you save if you buy these trousers?
• How much do you pay if you buy these trousers?

14
This stationery normally cost 55.

• The shop offers a 8 discount.
• How much do you save if you buy this stationery?
• How much do you pay if you buy this stationery?

15
This house normally cost 350 000.

• The shop offers a 5 discount.
• How much do you save if you buy this house?
• How much do you pay if you buy this house?

16
After washing a 2.56 m length of material
decreases in length by 7.

• What is the new length?

17
A farmer has 2 486 lambs at the start of the
season.

• 14 die due to bad weather.
• How many lambs die?
• How many lambs survive?

18
A farmer has 216 calves.

• 54 are male.
• How many male calves are there?
• How many female calves are there?

19
An orchard has 23 400 apples.

• 19.3 spoil in a hail storm.
• How many are spoiled?
• How many are left?

20
Increases
21
A camera costs a shop owner 426.

• The shop owner increases the price by 35.
• How much is the mark up?
• How much does a customer pay?

22
A TV costs a shop owner 698.

• The shop owner increases the price by 41.
• How much is the mark up?
• How much does a customer pay?

23
A washing machine costs a shop owner 725.

• The shop owner increases the price by 30.
• How much is the mark up?
• How much does a customer pay?

24
An armchair costs a shop owner 325.

• The shop owner increases the price by 25.
• How much is the mark up?
• How much does a customer pay?

25
A table costs a shop owner 895.

• The shop owner increases the price by 27.
• How much is the mark up?
• How much does a customer pay?

26
A fridge costs a shop owner 598.

• The shop owner increases the price by 42.
• How much is the mark up?
• How much does a customer pay?

27
A mower costs a shop owner 376.

• The shop owner increases the price by 27.
• How much is the mark up?
• How much does a customer pay?

28
Solve these problems.

• What is the selling price of a jar of coffee if
  the cost price is 10 and the markup is 15?
• What is the selling price of a bottle of hair
  shampoo if the cost price is 1.56 and the markup
  is 20?

• 11.50
• 1.87 or 1.90

29
Solve these problems.

• What is the selling price of a packet of biscuits
  if the cost price is 1.55 and the markup is 34?
• What is the selling price of a tube of toothpaste
  if the cost price is 0.70 and the markup is 45?

• 2.08 or 2.10
• 1.01 or 1.00

30
Solve these problems.

• A tin of salmon sells for 1.65. If the markup is
  10, how much did the salmon cost?
• If a set of glasses is marked up by 30 and sells
  for 9.35, what did it cost?

• 1.50
• 12.15

31
Solve these problems.

• A shirt is marked up by 40 and sells for 51.80.
  What did it cost?
• Find the cost price of a bike if it sells for
  53.25 and the markup is 50?

• 37
• 35.50

32
Percentage in practice
Manufacturers cost price Manufacturers profit Wholesalers profit Retailers profit
1 000 25 10 10
80c 50 50 50
4 20 10 25
27 33 30 40
10 000 5 10 25
33
Percentage in practice
Wholesalers price Retailers profit GST Price in the shop
1 500 25 12.5
70c 50 12.5
5.60 20 12.5
25.80 33 12.5
10 982 5 12.5
34
Discount in the shop
Price in the shop Discount Price you pay
1 700 25
95c 50
4.65 20
37.80 33
54 432 5
35
Mr Harrison earns 540 per week but he has to pay
126 in tax.

• What percentage of his income does he pay in tax?