Find the percent: discount and mark-up
Key notes:
percent of change = amount of change / original amount
Learn with an example
▶️ An entrepreneur buys some bags of marbles. Each one costs ₹50 and resells online for ₹62. What is the mark-up, as a percentage?
The percent of change formula can be used to find percent of mark-up.
percent of mark-up = selling price = purchase price / purchase price
Plug ₹50 and ₹62 into the formula and simplify.
percent of mark-up = selling price = purchase price / purchase price
= ₹62 – ₹50 / ₹50
= ₹12 / ₹50
= 0.24
Write the number as a percent.
0.24 → 24%
The percent of mark-up is 24%.
▶️ Lexi, the owner of an e-commerce site, buys shovels for ₹300 and then sells them on her site for ₹861. What is the mark-up, as a percentage?
The percent of change formula can be used to find percent of mark-up.
percent of mark-up = selling price = purchase price / purchase price
Plug ₹300 and ₹861 into the formula and simplify.
percent of mark-up = selling price = purchase price / purchase price
= ₹861 − ₹300 / ₹300
= ₹561 / ₹300
= 1.87
Write the number as a percent.
1.87 → 187%
The percent of mark-up is 187%.
▶️ A store manager decides to clear out fishing poles to make room for new inventory. Now a ₹850 fishing pole will be on sale for only ₹442. What percentage is the discount?
The percent of change formula can be used to find percent of discount.
percent of discount = original price − discount price / original price
Plug ₹850 and ₹442 into the formula and simplify.
percent of discount = original price − discount price / original price
= ₹850 − ₹442 / ₹850
= ₹408 / ₹850
= 0.48
Write the number as a percent.
0.48 → 48%
The percentage of discount is 48%.
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