- 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

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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?

**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.

**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

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