Question
Question 7
A store has clearance items that have been marked down by 40%. They are having a sale, advertising an
additional 45% off clearance items. What percent of the original price do you end up paying?
Give your answer accurate to at least one decimal place.
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A store has clearance items that have been marked down by 40%. They are having a sale, advertising an
additional 45% off clearance items. What percent of the original price do you end up paying?
Give your answer accurate to at least one decimal place.
Question Help: Video Message instructor
Submit Question
Ask by Newton Cummings. in the United States
Mar 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
You end up paying 33.0% of the original price.
Solution
-
Let the original price be
. -
After a
markdown, the price becomes: -
Next, an additional
discount is applied to the clearance price. The price after this discount is: -
Multiplying these factors:
-
This means you end up paying
of the original price.
Thus, the final price is
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
Let’s break it down in a fun way! When an item is marked down by 40%, you are paying 60% of the original price. Now, when you apply an additional 45% off from that 60%, you will pay 55% of that amount. So, to find the final percentage of the original price, you multiply 60% by 55%. That calculation gives you 33%. So, you end up paying 33% of the original price after both discounts!
Now, isn’t it awesome to know that what seems like a super complicated situation actually boils down to simple math? Clearances and sales can feel overwhelming, but when you break it down step by step, it becomes much more manageable! So next time you see a sale, you can confidently tackle the math!
