Today, everything at a store is on sale. The store offers a 20% discount. The discount price of a hat is $18. What is the regular price. Explain your reasoning
Answers
Answer:
$22.50
Step-by-step explanation:
If $18 = 20% off, then that means $18 is 80% of the original price.
80% as a decimal = .8
($18) divided by (.8) equals ($22.50)
To check your answer,
$22.50 x .8 = $18
Given:
A hat is priced at 18 dollars after giving a discount of 20% on the hat.
To Find:
The original price of the hat.
Solution:
The given problem can be solved using the concepts of percentages.
1. It is given that on a particular day a hat is being sold at a discount of 20%.
2. The effective price or the discount price is 18 dollars.
3. The original price of the hat is calculated as follows,
=> let the original price of the hat be x$.
=> After giving a discount of 20%, the new price of the hat will be,
=> New price of the hat = x - (20x/100),
=> New price/ Discount price of the hat = (4x/5).
4. Therefore, the Discount Price of the hat = (4x/5),
=> 18 = (4x/5),
=> x = 5 * 4.5,
=> x = 22.5 $.
Therefore, the original price of the hat is 22.5$.