SOLUTION: A doll was sold for $45 at a loss of 10%. What was the original price? Original Price has to be greater than 45 since it was sold at a loss, so: Loss was only 10%, so there was

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Question 515595: A doll was sold for $45 at a loss of 10%. What was the original price?
Original Price has to be greater than 45 since it was sold at a loss, so:
Loss was only 10%, so there was a 'gain' of 90%, for want of a better term.
So 90% of some number gives a loss of 45.
0.9(some number) = 45
some number = 45%2F0.9
some number = 50
I'm not really comfortable with this method. Could I be, kindly, shown alternatives?
Answer by drcole(72) About Me  (Show Source):
You can put this solution on YOUR website!
You have a good method. Here's another way to get to the same equation. Let x be the original price. 10% of the original price is 0.10x. If the doll was sold at a loss of 10%, then the price it was sold at would be:
x - 0.10x
We know that the doll was sold at $45, so this gives the algebraic equation:
x - 0.10x = 45
0.9x = 45 (combining like terms)
Now we're back to the equation you figured out in a slightly different way.