# Finding the sale price given the original price and percent discount

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Stores often sell goods for a discounted price. Typically, a store will discount an item by a percent of the original price. To solve this problem, we need a procedure which is given by following rules.

Rules for finding the sale price given the original price and percent discount

• At first, we consider the original price and discount rate.

• The rate is usually given as a percent.

• To find the discount, multiply the rate by the original price.

• To find the sale price, subtract the discount from original price

A shirt is put on sale for 30% off the regular price. If the regular price is $50 what is the sale price? ### Solution Step 1: Original price =$50

Discount percent = 30% off $50; Discount =$\frac{30}{100} × 50 =15

Step 2:

Sale price = Original price – Discount = $50 −$15 = $35 A dinner set was marked$480 and a discount of 18% was offered on its marked price. Find the sale price of the dinner set.

### Solution

Step 1:

Marked price of dinner set = $480 Discount = 18% of$480 = 0.18 × 480 = $86.40 Step 2: Sale price of dinner set =$480 – $86.40 =$393.60