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A discount of 10% on a marked price results in a selling price of $90. What is t
A discount of 10% on a marked price results in a selling price of $90. What is the marked price? (2023)
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Q1
A discount of 10% on a marked price results in a selling price of $90. What is the marked price? (2023)
$100
$110
$120
$130
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Let the marked price be x. Selling Price = Marked Price - Discount = x - 0.1x = 0.9x. Thus, 0.9x = 90, so x = 100.
Questions & Step-by-step Solutions
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Q
Q: A discount of 10% on a marked price results in a selling price of $90. What is the marked price? (2023)
Solution:
Let the marked price be x. Selling Price = Marked Price - Discount = x - 0.1x = 0.9x. Thus, 0.9x = 90, so x = 100.
Steps: 8
Show Steps
Step 1: Let the marked price be represented by the variable x.
Step 2: A discount of 10% means you pay 90% of the marked price. This can be written as Selling Price = Marked Price - Discount.
Step 3: The discount can be calculated as 10% of x, which is 0.1x. So, the Selling Price can be written as: Selling Price = x - 0.1x.
Step 4: Simplifying the equation from Step 3 gives us Selling Price = 0.9x.
Step 5: We know the Selling Price is $90, so we can set up the equation: 0.9x = 90.
Step 6: To find x, divide both sides of the equation by 0.9: x = 90 / 0.9.
Step 7: Calculate the value: x = 100.
Step 8: Therefore, the marked price is $100.
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