Percentages

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Percentages
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Percentages - VAT 1. Valued Added Tax (VAT) is a
tax that is charged at a rate of 17½ of an items
initial cost. Calculate the VAT that is charged
on an item with an initial cost of 120
17½ 10 5 2½ 10 of 120 12 5 of
120 6 2½ of 120 3 17½ of 120 12 6
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• Percentages Increase and Decrease
• 2. Calculate the percentage change when
• Bills weekly wages increase from 210 to 250
• The price of house is reduced from 245000 to
  225000

• Percentage Change (new old) old x 100
• ? (250 210) 210 x 100 19
• b) (225000 245000) 245000 x 100 -8.2

The minus sign means that it is a decrease a
reduction of 8.2
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3. The total number of students at a school is
1280 and 164 of the students are in Year
7. Express 164 as a percentage of 1280 Give your
answer correct to 2 significant figures.
164/1280 as a decimal is 0.128125 As a percentage
13 to 2 s.f.
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In a sale, normal prices are reduced by 15.
Calculate the sale price of a shirt that had an
normal price 12.75.
Change 15 into a decimal ? 0.15 Subtract this
from 1 ? 1 0.15 0.85 12.75 x 0.85 10.84
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In a sale, normal prices are reduced by 35. The
sale price of a TV is 150. Calculate its normal
price.
Normal Price x 0.65 150 Normal Price 150
0.65 Normal Price 230.76
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In 2004, the population of the European
Community was 376 million. By 2005, the
population of the European Community was 451
million. Work out the percentage increase in
population. Give your answer correct to 1 decimal
place.
Percent Increase (new old) old x 100
Percent Increase (451 376) 376 x
100 Percentage Increase 19.9
8
Martin buys a watch for 24. He sells the watch
and makes a profit of 15. Work out how much he
sells the watch for.
To find an increase of 15 Change 15 into a
decimal ? x 0.15 Add this onto one ?
1.15 Multiply by this number 24 x 1.15 27.60