+299 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: ?
+2441 #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. |
| \(45*1.35\) | |
| \(\$60.75\) | |
