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A shirt is sold for $240 after a discount of 20%. What was the original price of
A shirt is sold for $240 after a discount of 20%. What was the original price of the shirt?
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Practice Questions
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Q1
A shirt is sold for $240 after a discount of 20%. What was the original price of the shirt?
$200
$220
$240
$300
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Let the original price be x. After a 20% discount, the selling price is x - 0.2x = 0.8x. Given 0.8x = 240, we find x = 240 / 0.8 = 300.
Questions & Step-by-step Solutions
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Q
Q: A shirt is sold for $240 after 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 x - 0.2x = 0.8x. Given 0.8x = 240, we find x = 240 / 0.8 = 300.
Steps: 9
Show Steps
Step 1: Understand that the shirt is sold for $240 after a discount of 20%.
Step 2: Let the original price of the shirt be represented by 'x'.
Step 3: Calculate the amount of the discount. A 20% discount means you pay 80% of the original price.
Step 4: Write the equation for the selling price after the discount: Selling Price = Original Price - Discount.
Step 5: Substitute the values into the equation: 240 = x - 0.2x.
Step 6: Simplify the equation: 240 = 0.8x.
Step 7: To find 'x', divide both sides of the equation by 0.8: x = 240 / 0.8.
Step 8: Calculate the value: x = 300.
Step 9: Conclude that the original price of the shirt was $300.
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