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find the original price discount sale price or selling price

question #1 original price:$130 discount:60% sale price: ? question #2 cost to store:$45 mark up:35% selling price: ?

Jan 30, 2018

#1
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#1) If the price of an item is $130 and the discount is at 60%, this means the price of the sale price should be 60% of the original price,$130.

What is 60% of 130? Well, the "of" in mathematics is an indicator of the multiplication operation, so the problem is effectively 60% * 130.

 $$60\%*130$$ Convert the percentage to a decimal or fraction and simplify the expression. $$60\%=\frac{60}{100}=\frac{3}{5}$$ Now, do the  multiplication. $$\frac{3}{5}*\frac{130}{1}$$ Notice that the 130 and the 5 have a GCF of 5, so we can do some canceling here. $$3*26$$ Do the multiplication. $$\78.00$$ This is the sale price of the particular item.

#2) A mark up means that the store is adding to the original price of the item. In this case, $45 with a 35% markup means that the sale price should increase by 35%. In other words, this means: Sale price =$45 + (35% of 45)

Let's simplify this.

 $$\45+35\%\text{ of }45$$ "Of" yet again means multiplication. $$45+35*45$$ Using some algebra skills, we can make this one multiplication problem. $$45*1.35$$ $$\60.75$$
Jan 30, 2018
#2
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Thank you so much

Nerd123  Jan 30, 2018