SOLUTION: A bag selling 185$ is marked down 25% for special promotion. it is later marked down farther by 17 1/2% of the sale price. since it still not sold, it is marked down further to a p

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Question 540885: A bag selling 185$ is marked down 25% for special promotion. it is later marked down farther by 17 1/2% of the sale price. since it still not sold, it is marked down further to a price of 60% off the original selling price.
a) What are two sale prices of the bag?
b) What is final selling price of the bag?

Answer by jpg7n16(66) About Me  (Show Source):
You can put this solution on YOUR website!
Let's start off by turning what you know into equations. The original price of the bag is $185. Let's call that price "P"
P=185
Sales price #1 says it's marked down by 25%. That means you start with your 100%, and subtract 25% = 75% of original. Let's call this "Sale A"
A=.75P=.75%28185%29=138.75
Then no one wants to buy this apparently very ugly bag, so they reduce the price again, by 17.5%. So 100%-17.5%=82.5%. But which price did they reduce from: original? or sale A? When you read the problem carefully, it is 17.5% off the SALE price (what we called "Sale A"). This becomes the second sale price, so let's call it "Sale B"
B=.825A=.825%28138.75%29=114.47
Still, no one wants this tie-dye Richard Simmons bag, so they reduce the price again! To 60% off. But which price are they adjusting here? Orignal, A, or B? Reading the question, this is now 60% off the Original price (what we called "P"). 60% OFF is 100%-60%=40%. Let's call this final sale, "Sale C"
C=.40%28P%29=.40%2A%28185%29=74