Find the percent: discount and mark-up
key notes:
percent of change = amount of change / original amount
Learn with an example
🗼 A shopper at a clearance sale is pleased to discover some beaded key chains on sale for ₹31 each. The original price tags read ₹62.
What is the discount, as a percentage?
Write your answer using a percent sign (%).
The percent of change formula can be used to find the percent of discount.
percent of discount = original price − discount price / original price
Plug ₹62 and ₹31 into the formula and simplify.
percent of discount = original price − discount price / original price
= ₹62 − ₹31 / ₹62
= ₹31 / ₹62
= 0.5
Write the number as a percent.
0.5 → 50%
The percentage of discount is 50%.
🗼 The manager of a store orders noisemakers that cost ₹4 and sells them for ₹9.56.
What percentage is the markup?
Write your answer using a percent sign (%).
The percent of change formula can be used to find the percent of markup.
percent of mark-up = selling price − purchase price/purchase price
Plug ₹4 and ₹9.56 into the formula and simplify.
percent of mark-up = selling price − purchase price/purchase price
= ₹9.56 − ₹4 / ₹4
= ₹5.56 / ₹4
= 1.39
Write the number as a percent.
1.39 → 139%
The percentage of markup is 139%.
🗼 A website is selling hammers for ₹724. The site got the hammers at a cost of ₹400.
What percentage is the markup?
Write your answer using a percent sign (%).
The percent of change formula can be used to find the percent of markup.
percent of mark-up = selling price − purchase price/purchase price
Plug ₹400 and ₹724 into the formula and simplify.
percent of mark-up = selling price − purchase price/purchase price
= ₹724 − ₹400 / ₹400
= ₹324 / ₹400
= 0.81
Write the number as a percent.
0.81 → 81%
The percentage of markup is 81%.
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