Markup and Markdown Problems

Let's apply some of this math with percents to MARKUPS and DISCOUNTS

We are going to be a human cash register today :)

Discounts and Markups

Example #1 - Markups

• Markups are a percent INCREASE on an item

• Find the selling price if a store pays $42 for a pair of in-line skates and the markup is 25%.

• Step 1: Find the amount of markup (take the price TIMES the % markup)

• 0.25 x 42= $10.50

• Step 2: Add the markup amount to the paid price

• $42 + $10.50 = $52.50 selling price

General Process for MARKUPS

Step 1: Take selling price TIMES the decimal form of the percent.

Step 2: ADD the amount from Step 1 to the price of the item
(Remember... markups are percent INCREASE)

Multiple Choice

Find the selling price if a store pays $75 for a bike and the markup is 40%.

• $30

• $105

• $45

Example #2 - Discounts

• Discounts are a percent DECREASE on an original price!

• Summer Sports is having a sale. A volleyball has an original price of $59. It is on sale for 65% off the original price. Find the sale price of the volleyball.

• Step 1: Find the discount (take the decimal form of the percent x the price)

• 0.65 x $59 *= $38.35

• Step 2: SUBTRACT the discount from the original price

• $59 - $38.35 = $20.65 sale price

General Process for DISCOUNTS

Step 1: Take the original price given and multiply it by the decimal form of the percent

Step 2: SUBTRACT the value you got in Step 1 from the original price of the item (remember... discounts are percent DECREASE)

Multiple Choice

A magazine subscription has a cover price of $35. It is on sale for 67% of the original price. Find the sale price of the magazine subscription.

• $11.55

• $58.45

• $23.45

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Find the sale price of a bike that is regularly $110 and is on sale for 45% off the original price!

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Find the selling price on a pair of shoes that a store pays $30 for with a 25% markup.

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Find the selling price of a guitar a store pays $100 for with a markup of 34%.

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Find the selling price for a coat that originally costs $43 with a discount of 40% off.

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A store is selling a coat rack for 80% off of the original price of $640. Find the sale price of the coat rack.

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A salon has a sale on hair products as 25% off. Find the sale price of a shampoo and conditioner set that regularly costs $30.

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A store buys a new phone for $750 and wants to sell it with a markup of 48%. How much will the selling price be for the phone?

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A store buys an exclusive hat for $20 and wants to sell it at a 15% markup. However, after they markup the price, the hat goes down in value, so they want to put a 25% discount on the markup price. What is the final sale price?