
- Percentage Increase & Decrease
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- Finding the final amount given the original amount and a percentage increase or decrease
- Finding the sale price given the original price and percent discount
- Finding the sale price without a calculator given the original price and percent discount
- Finding the total cost including tax or markup
- Finding the original amount given the result of a percentage increase or decrease
- Finding the original price given the sale price and percent discount
- Comparing discounts
Finding the sale price given the original price and percent discount
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