1.6 Percentages Toolkit

The selling price of a shirt is $26.50.
This includes a tax of 6%.

Calculate the price of the shirt before the tax was added.

$ .................................................

Adil and Brian are paid the same wage.
Adil is given a 7% pay decrease and his new wage is $427.80.
Brian is given a 7% pay increase.
 
Work out Brian’s new wage.
 

$ ................................................ 

Roberto buys a toy for $5.00.
He then sells it for $4.60.
 
Calculate his percentage loss.
 

............................................. % 

Shona buys a chair in a sale for $435.60.
This is a reduction of 12% on the original price.

Calculate the original price of the chair. 
 

$ ............................................... 

The number of passengers on a train increases from 63 to 77.
 
Calculate the percentage increase.
 

.................................................% 

In 2003, Jerry bought a house.

In 2007, Jerry sold the house to Mia.
He made a profit of 20%

In 2012, Mia sold the house for £162 000
She made a loss of 10%

Work out how much Jerry paid for the house in 2003

In a sale normal prices are reduced by 20%.

A washing machine has a sale price of £464

By how much money is the normal price of the washing machine reduced?

A shop has a sale.

A microwave oven has a sale price of £90
A combination oven has a sale price of £84

Which of these ovens has the greater normal price?
You must show all your working.

Here are three spheres.

The volume of sphere Q is 50% more than the volume of sphere P.
The volume of sphere R is 50% more than the volume of sphere Q.

Find the volume of sphere P as a fraction of the volume of sphere R.

Marie invests £8000 in an account for one year.
At the end of the year, interest is added to her account.

Marie pays tax on this interest at a rate of 20%
She pays £28.80 tax.

Work out the percentage interest rate for the account.

Increase $22 by 15%.

$ ................................................. 

A company sells boxes to factories.
Fred buys boxes.
The boxes are sold in packs of 1000
Each pack costs £193.86

Fred orders 3 packs of boxes.
He gets a discount on his total order.

The table shows the discount he will get.

Work out the total cost of the order after the discount.
You must show your working.

Greg sells car insurance and home insurance.

The table shows the cost of these insurances.

Each month Greg earns

        £530 basic pay
        5% of the cost of all the car insurance he sells
and 10% of the cost of all the home insurance he sells

In May Greg sold

       6 car insurances
and 4 home insurances

Work out the total amount of money Greg earned in May.

Mr Watkins needs to buy some oil for his central heating.

Mr Watkins can put up to 1500 litres of oil in his oil tank.
There are already 850 litres of oil in the tank.
Mr Watkins is going to fill the tank with oil.

The price of oil is 67.2p per litre.
Mr Watkins gets 5% off the price of the oil.

How much does Mr Watkins pay for the oil he needs to buy?

The table gives some information about student attendance at a school on Friday.

The school has a target of 94% of students being present each day.

Did the school meet its target on Friday?

Sean wants to go on holiday.
He is going to get a loan of £720 to help pay for the holiday.

Sean will have to pay back the £720 plus interest of 15%.
He will pay this back in 12 equal monthly installments.

How much money will Sean pay back each month?

The table gives information about Ali's spending last month.

Ali's total spending last month was £800

Next month Ali's rent, in pounds, is going to rise by 20%.
His total spending will still be the same.

Express the amount of money Ali will spend on rent next month as a percentage of £800.

Bill buys and sells laptops.

Last month Bill bought 50 laptops.
He paid £400 for each laptop.

He sold

40 of these laptops at a profit of 30% on each laptop
10 of these laptops at a profit of 15% on each laptop

Bill's target last month was to sell all 50 laptops for a total of at least £25 000

Did Bill reach this target?

Renee buys 5 kg of sweets to sell.
She pays £10 for the sweets.

Renee puts all the sweets into bags.
She puts 250 g of sweets into each bag.
She sells each bag of sweets for 65p.

Renee sells all the bags of sweets.

Work out her percentage profit.

The normal price of a television is reduced by 30% in a sale.

The sale price of the television is £350

Work out the normal price of the television.

Claire is making a loaf of bread.

A loaf of bread loses 12% of its weight when it is baked.

Claire wants the baked loaf of bread to weigh 1.1 kg.

Work out the weight of the loaf of bread before it is baked.

Jules buys a washing machine.

20% VAT is added to the price of the washing machine.
Jules then has to pay a total of £600

What is the price of the washing machine with no VAT added?

A force of 70 newtons acts on an area of 20 cm²

pressure =

The force is increased by 10 newtons.
The area is increased by 10 cm²

Helen says,

"The pressure decreases by less than 20%"

Is Helen correct?
You must show how you get your answer.