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: ?

Nerd123
Jan 30, 2018

#1**+1 **

#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. |

\(45*1.35\) | |

\(\$60.75\) | |

TheXSquaredFactor
Jan 30, 2018