
Percentages Exercise:
Give your answers to 2 decimal places unless instructed otherwise.









Q1)

Without using a calculator, find the following
percentages:









a)


10 % of 80





b)


5 % of 80





c)


15 % of 80





d)


45 % of 80





e)


75% of 80





f)


40 % of 60





g)


80 % of 60





h)


55% of 60





i)


90 % of 90





j)


90 % 0f 80













Q2)

"Forward
percentages"













a)

15% service charge is added to a restaurant bill of
£84.70



How much is to be paid by the customer?










b)

The price of a laptop is reduced by 24% in the
January sales.



The laptop usually costs £950, what is the sale
price?










c)

Over 6 years, the value of local houses has risen by
8%.



A house 6 years ago was worth £180,000; what is it
worth now?










d)

A worker's Gross salary of £35,000 is taxed at 17%.



What is the worker's Net Salary?










e)

A shop gives its internet customers a 6% discount.



A PC costing £1250 is ordered online; how much must
be paid?










Q3)

"backward
percentages"













a)

15% tax is added to a restaurant bill after which
the customer paid £57.80.



How much was the bill before the tax was added?










b)

A customer bought a
discounted laptop for £830.




If the discount applied
was 12%, what was the original price?










c)

The current value of a
house is £250,000, which is a 4% increase from 6



years ago. What was the
value of the house 6 years ago?










d)

A worker's Net Salary is
£27,800 after tax at 19% has been taken away.



What is the worker's
Gross Salary?












e)

A customer buys a PC
online and pays £960. The shop gives all internet



customers a 7% discount.
What was the original price of the PC?










Q4)

"percentage
change" Answer to the nearest percent.










a)

Before the service charge, the restaurant bill was
£35.70.



After the service charge, the bill csame to 38.91.
What is the percentage change?










b)

Before the discount, a laptop cost £930. After
discount the laptop cost £818.40



What is the discount percentage?










c)

6 years ago, a house was valued at £175,000. Now it
is valued at £180,250.



What is the percentage appreciation?










d)

A worker's Gross Salary is £27,400 and her net
salary is £22,194.



What percentage of the Gross Salary is paid in tax?










e)

A customer buys a PC online for £1440.72 which
originally cost £1566.



What is the discount percentage?











Exam Style Questions













1)

A clothing retailer offers a 16% discount for
customers who buy online.






a) A
pair of shoes usually cost £35, how much would you pay if you bought online?






b) A coat was bought online for £65. How much would the coat have
been if the



customer had not bought the coat online?










2)

In a certain restaurant a 14.5% service charge is
added to each customer's bill.






a)
The bill at table A came to £44.85 excluding the service charge. What was
the



total amount of the bill?






b) At
table B, the total bill including service charge came to £56.80. How
much



was the service charge?










3)

a)
VAT at 16.8% is added to the price of all goods. If a radio is £65.80 before
the VAT



is added, what is its price after the VAT is added?






b) A
customer bought a washing machine for £375. The price included the VAT.



What was the price of the washing machine before the
VAT was added?




