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Percentages Exercise:
Give your answers to 2 decimal places unless instructed otherwise.
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Q1)
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Without using a calculator, find the following
percentages:
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a)
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10 % of 80
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b)
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5 % of 80
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c)
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15 % of 80
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d)
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45 % of 80
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e)
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75% of 80
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f)
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40 % of 60
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g)
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80 % of 60
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h)
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55% of 60
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i)
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90 % of 90
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j)
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90 % 0f 80
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Q2)
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"Forward
percentages"
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a)
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15% service charge is added to a restaurant bill of
£84.70
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How much is to be paid by the customer?
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b)
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The price of a laptop is reduced by 24% in the
January sales.
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The laptop usually costs £950, what is the sale
price?
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c)
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Over 6 years, the value of local houses has risen by
8%.
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A house 6 years ago was worth £180,000; what is it
worth now?
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d)
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A worker's Gross salary of £35,000 is taxed at 17%.
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What is the worker's Net Salary?
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e)
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A shop gives its internet customers a 6% discount.
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A PC costing £1250 is ordered online; how much must
be paid?
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Q3)
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"backward
percentages"
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a)
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15% tax is added to a restaurant bill after which
the customer paid £57.80.
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How much was the bill before the tax was added?
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b)
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A customer bought a
discounted laptop for £830.
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If the discount applied
was 12%, what was the original price?
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c)
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The current value of a
house is £250,000, which is a 4% increase from 6
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years ago. What was the
value of the house 6 years ago?
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d)
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A worker's Net Salary is
£27,800 after tax at 19% has been taken away.
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What is the worker's
Gross Salary?
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e)
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A customer buys a PC
online and pays £960. The shop gives all internet
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customers a 7% discount.
What was the original price of the PC?
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Q4)
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"percentage
change" Answer to the nearest percent.
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a)
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Before the service charge, the restaurant bill was
£35.70.
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After the service charge, the bill csame to 38.91.
What is the percentage change?
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b)
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Before the discount, a laptop cost £930. After
discount the laptop cost £818.40
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What is the discount percentage?
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c)
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6 years ago, a house was valued at £175,000. Now it
is valued at £180,250.
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What is the percentage appreciation?
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d)
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A worker's Gross Salary is £27,400 and her net
salary is £22,194.
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What percentage of the Gross Salary is paid in tax?
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e)
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A customer buys a PC online for £1440.72 which
originally cost £1566.
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What is the discount percentage?
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Exam Style Questions
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1)
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A clothing retailer offers a 16% discount for
customers who buy online.
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a) A
pair of shoes usually cost £35, how much would you pay if you bought online?
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b) A coat was bought online for £65. How much would the coat have
been if the
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customer had not bought the coat online?
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2)
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In a certain restaurant a 14.5% service charge is
added to each customer's bill.
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a)
The bill at table A came to £44.85 excluding the service charge. What was
the
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total amount of the bill?
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b) At
table B, the total bill including service charge came to £56.80. How
much
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was the service charge?
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3)
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a)
VAT at 16.8% is added to the price of all goods. If a radio is £65.80 before
the VAT
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is added, what is its price after the VAT is added?
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b) A
customer bought a washing machine for £375. The price included the VAT.
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What was the price of the washing machine before the
VAT was added?
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