Percentages

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1

After surgery, Jimmy weighed 68kg.

During recovery he is expected to gain 5% of his weight every week.

What is his expected weight after 3 weeks

3 Marks

Show Answer

78.7185kg

2

Cameron buys a house for £96000.

The value is expected to decrease by 4.8% per annum.

What is the expected value of the house after 5 years?

3 Marks

Show Answer

£75068.20

3

Mack puts £15000 into an investment fund.

The investment fund is expected to rise by 6.1% each year for the next 5 years.

Mack's aim is to have £20,000.

Is this investment projected to achieve his aim?

3 Marks

Show Answer

£20168.25

Yes, this is above £20000 so is projected to achieve his aim

4

A house appreciated in value by 36% to £320 960.

Calculate the original value of the house.

3 Marks

Show Answer

£236000

5

James' calorie intake is 3600 calories.

During a fitness scheme he reduces his intake by 6% a day for 5 days.

What is his calorie intake on the fifth day of this scheme?

Give your answer to the nearest 10 calories

3 Marks

Show Answer

2640 calories

6

Sadie treats her friends to lunch.

A service charge of 14% is added to their bill making it £185.25.

Calculate the cost of the meal before the service change was added.

3 Marks

Show Answer

£162.50

7

Ubivision made a profit of £280 000 this year.

They predicted their profits to increase by 4% each year for the next 3 years.

Calculate their predicted profit in 3 years.

3 Marks

Show Answer

£314 961.92

8

A football stadium is redeveloped and its capacity is increased by 15%.

It now has 41400 seats.

How many seats did it have before redevelopment?

3 Marks

Show Answer

36000

9

A share portfolio was worth £180 000.

The value dropped by 8% for 3 consecutive months.

What was the value of the portfolio after the 3 months?

3 Marks

Show Answer

£140163.84

10

A laptop is in the sale and its price is reduced by 12%.

It now costs £528.

How much was it before the sale?

3 Marks

Show Answer

£600

11

Atlantis High has a school roll of 800 pupils.

The roll is expected to rise by 9% each year for 3 years.

What is the expected roll after 3 years?

3 Marks

Show Answer

1036 pupils

12

The rent of a flat is increased by 12·5% and is now £900 a month.

What was the monthly rental before the increase?

3 Marks

Show Answer

£800

13

Skyout industries made an annual profit of £38 000 000 in 2019.

They are expected to have reduced profits by 6% for 4 years.

Determine the expected profit in 2023

3 Marks

Show Answer

£29668460.48

14

Francis takes a wage cut of 7% and is now paid £48 360.

How much was Francis paid before their wage cut?

3 Marks

Show Answer

£52 000

15

Greg purchased a property in 2009 for £102000.

The value of the property dropped each year by 8% until 2013

What was the value of the property in 2013?

3 Marks

Show Answer

£73072.08

16

The CEO of Hunter Industries receives a pay rise of 80%.

He is now paid £270 000.

What was he paid before his pay rise?

3 Marks

Show Answer

£150000

17

A footballer's salary is improved by 20%.

His new wage is £720 000 per annum.

Determine his original wage.

3 Marks

Show Answer

£600000

18

The population of hive of bees is monitored over a number of years.

The initial count is 15,000 bees.

In the first two years, the population increases by 11% each year.

In the third year, the population increases by 6·5%.

What is the population of the hive after 3 years?

3 Marks