You can select which method you would like to use to solve the following activities. Avoid using a calculator—use pencil, paper, and mental arithmetic instead.
4.1)
A pair of shoes now costs $
$60$. This new price is
$75$ % of the old price. Find the old price.
4.2)
A jacket now costs $
$40$. This new price is
$80$ % of what it cost before it went on sale. Find the old price.
4.3)
A hat now costs $
$60$, but it used to cost $
$100$.
- a)
- Find the discount in dollars.
- b)
- Calculate what percentage the hat is discounted by.
4.4)
A coat that used to cost $
$50$ now costs $
$30$. You can make a sketch of this to help you out.
- a)
- What percentage of the old price is the new price?
- b)
- What is the discount in dollars?
- c)
- What percentage is the coat discounted by?
4.5)
A shirt that used to cost $
$75$ is now only $
$60$. Calculate what percentage the shirt has been discounted by. Estimate the answer to check whether your answer is reasonable.
4.6)
A sweater now costs $
$25$. It used to cost $
$50$. What percentage has the sweater been discounted by?
4.7)
A dress had an initial price of $
$50$. A label on the dress says “discounted by
$50$ % of
$50$ %”.
- a)
- Find the current price of the dress.
- b)
- Find out how many percent the dress is discounted by relative to its initial price.
4.8)
A jacket used to cost $
$40$. It has a yellow label saying that it’s discounted by
$30$ % of its original price. The jacket is then further discounted by
$50$ % of the new price as indicated by an additional red label.
- a)
- Find the current price of the jacket.
- b)
- Find out what percentage the the jacket has been discounted by, relative to its original price.
Hint: It could be a good idea to find out what the yellow label tells you the jacket costs first, before adding the additional discount from the red label.
You can find the solutions here.