Percentages - Topic 6

Question 1

18% of 300

Answer 1

18/100 x 300 = 54

Question 2

£12.50 increased by 6%

Answer 2

106/100 x 12.50 = £13.25

Question 3

2/28 in %

Answer 3

0.07 x 100 = 7%

Question 4

£8000 decreased by 24%

Answer 4

76/100 x 8000 = £6080

Question 5

£150 earning 3% simple interest for 2 years.

Answer 5

3/100 x 150 = 4.50
4.50 x 2 = 9
Total £159

Question 6

3.5kg to 3.22kg, what % decrease?

Answer 6

3.22/3.5 = 0.92

8% decrease

Question 7

Find original

Increased by 12% to £22.40

Answer 7

Find % now = 112%
Find 1% = 22.40 divided by 112 = 0.2
Find 100% = 0.2 x 100 = £20

Question 8

Find original

Decreased by 20% to £80

Answer 8

80%
80 divided by 80 = 1
1 x 100 = £100

Question 9

90m increased to 108m. Find % increase.

Answer 9

18/90 x 100 = 20%

Question 10

Find % profit:

£4 cost, £6 sold

Answer 10

2/4 x 100 = 50%

Question 11

Compound Interest.

£100 at 4% for 2 years

Answer 11

PY1 = £100
IY1 = 4/100 X 100 = £4 
PY2 = £104
IY2 = 4/100 X 104 = £4.16
TI = £8.16
TA = £108.16

Question 12

Basic income tax.

£5000 at 23% yearly

Answer 12

23/100 x 5000 = £1150 tax

Question 13

Income of £8000, Allowance of £2000. Basic tax rate of 20%

Answer 13

8000 - 2000 = 6000 taxable income

20/100 x 6000 = £1200 tax per year

Question 14

£18 460, allowance of £5336. First 3950 at 20%. Remainder at 23%.

Answer 14

18 460 - 5336 = 13124
13124 - 3950 = 9174
20/100 x 3950 = £790 first tax rate
23/100 x 9174 = 2110.02
total tax = 790 + 2110.02 = £2900.02