Calculate 20% Discount: Finding Price Reduction on $200 Coat

Question

The original price of a coat is $200. If the coat is discounted by 20%:
How much does the price of the coat decrease by after the discount?

Video Solution

Solution Steps

00:00 Determine the discounted price
00:06 Apply the formula to convert percentages to fractions
00:23 This fraction is equal to 20%
00:33 Multiply the fraction by the number itself to determine the percentage
00:49 Factor and reduce wherever possible
01:09 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Apply the appropriate formula
  • Step 3: Perform the necessary calculations

Let's go through each step:
Step 1: The original price of the coat is 200, and the discount percentage is 20%.

Step 2: We use the formula to calculate the discount amount:
\(\text{Discount Amount} = \text{Original Price} \times \left(\frac{\text{Discount Percentage}}{100}\right)

Step 3: Substitute the given values into the formula:
Discount Amount=200×(20100)=200×0.2=40\text{Discount Amount} = 200 \times \left(\frac{20}{100}\right) = 200 \times 0.2 = 40

Therefore, the price of the coat decreases by \40 \) after the discount.

Answer

40