A shopkeeper sells a shirt for $30 after giving a discount of 20%. What was the original price of the shirt?
Practice Questions
1 question
Q1
A shopkeeper sells a shirt for $30 after giving a discount of 20%. What was the original price of the shirt?
$36
$40
$42
$45
Let the original price be x. After a 20% discount, the selling price is 80% of x. Thus, 0.8x = 30. Solving for x gives x = 30/0.8 = 37.5. Therefore, the original price is $36.
Questions & Step-by-step Solutions
1 item
Q
Q: A shopkeeper sells a shirt for $30 after giving a discount of 20%. What was the original price of the shirt?
Solution: Let the original price be x. After a 20% discount, the selling price is 80% of x. Thus, 0.8x = 30. Solving for x gives x = 30/0.8 = 37.5. Therefore, the original price is $36.
Steps: 7
Step 1: Understand that the shopkeeper sells the shirt for $30 after giving a discount.
Step 2: Know that a 20% discount means the customer pays 80% of the original price.
Step 3: Let the original price of the shirt be represented by 'x'.
Step 4: Write the equation for the selling price after the discount: 0.8 * x = 30.
Step 5: To find 'x', divide both sides of the equation by 0.8: x = 30 / 0.8.
Step 6: Calculate the value: 30 divided by 0.8 equals 37.5.
Step 7: Conclude that the original price of the shirt is $37.50.
