SOLUTION: A store has clearance items that have been marked down by 50%. They are having a sale, advertising an additional 40% off clearance items. What percent of the original price do you
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Question 1190437: A store has clearance items that have been marked down by 50%. They are having a sale, advertising an additional 40% off clearance items. What percent of the original price do you end up paying?
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
x = original price before any markdowns or sales or discounts
0.5x = price after the 50% markdown
When you have a 40% discount, then you pay the remaining 60%
60% of 0.5x = 0.6*0.5x = 0.3x
Effectively the two discounts combine to the customer paying 30% of the original price (meaning they get a 70% discount overall).
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An example:
Let's say an item is originally priced at $100
After the 50% markdown, it's now worth half as much at $50
If there's an additional 40% discount, then the customer saves 50*0.4 = 20 dollars and ends up paying 50-20 = 30 dollars when all is said and done (this doesn't include sales tax).
Note how the ratio of the final price (30) and the original (100) is 30/100 = 0.30 = 30%
Meaning the customer paid 30% of the starting price.
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Answer: 30%
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