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Answer: 9.75 dollars</h3>
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Explanation:
There are two ways to solve this problem.
Method 1:
35% = 35/100 = 0.35
35% of 15 = 0.35*15 = 5.25
So you save $5.25, which is the discount amount.
The sale price is 15 - 5.25 = 9.75 dollars
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Method 2:
If you save 35%, then you still need to pay the remaining 65%
35% + 65% = 100%
The sale price is 65% of original price
sale price = 65% of original price
sale price = 0.65*15
sale price = 9.75 dollars
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Extra info (optional section)
The benefit of method 2 is that we can chain multiple discounts together. Consider that on top of the 35% discount, the store then decides that members (people who pay monthly) will get an extra 10% off. The natural thinking is that the total discount is 35%+10% = 45% off, but that's not correct.
We can see this if we say that the original price is say $100 and 35% off would lead to a price of 0.65*100 = 65 dollars. Then an extra 10% off means we pay 90% of that new price (65 dollars) to get 0.90*65 = 58.50
As a shortcut, we can just multiply the values of 0.65*0.90 = 0.585
Then note how 100*0.585 = 58.50 showing us a fairly fast way to compute the final sale price even if multiple discounts are applied. This can be extended to more discounts. Again, we do not add the percentages when it comes to figuring out how much the total discount percentage would be.
Since the item was $100 but now it's 58.50, this means we saved 100-58.50 = 41.50 dollars. The discount is therefore 41.50/100 = 41.50% which is close to the 45% calculated earlier, but not quite there.
- Original point.
- Translated point.
- Translation vector.