Percentages 1
75% means 75/100 (this is also equal to 3/4.)
Percentage of a Quantity
Example
VAT is a tax which is added on to the cost of most items.
How much VAT is there to pay on the meal?
What is the final price of the meal?
Value added tax (VAT)
VAT = £16.14
Price of meal = £92.20 + £16.14 = £108.34
This is just like a percentage of a quantity question
Examiners Tip 1
Percentage questions appear frequently at GCSE. If there is a percentage question on the non-calculator paper, try and work out what 10% is equal to, as shown in the examples above.
Percentage Increase and Decrease
Example
% Profit = 17000/45000 x 100% = 37.78%
One Quantity as a Percentage of Another
Example
2.5 [÷] 6.2 [x] 100 [=]
Reverse Percentage Problems
Example
It now costs £250. What was the original price?
price = 250/0.8 = £312.50
Always check the answer is sensible.
Is the original price more than the sale price?
80%
It is 80% of the original price, which is being found, not 80% of the new one.