I've been stuck on this for like an hour. Please Help. After a 10% reduction you purchase a new television for $414.00. What was the price before the reduction?

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I've been stuck on this for like an hour. Please Help. After a 10% reduction you purchase a new television for $414.00. What was the price before the reduction?

Mathematics
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If you realise you bought it for 90% of the original price, you should be able to work that back to 100%.
$455.40
I have to come up with the formula and the answer.

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@hutchy22: giving the answer away is not that helpful...
If you show me how to work it I can figure out the answer.
Think to yourself, 10% off of what original price is $414.00?
@ZeHanz I am sorry what did you want me to do I just went to Google and typed in the question...
A formula? I would think a reasoning that explains it will do. It is of course possible to work with formulas, but I think it is better to try to understand what's going on before doing that.
  • phi
Here is one way After a 10% reduction you purchase a new television for $414.00. Price - 10% of Price = 414.00
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@hutchy22: Anyone could Google it. That is not the point. The point is: people ask questions here to get explanations, and to learn to understand the problems.
Is it $414.10?
  • phi
as an equation Price - 10% of Price = 414.00 write it as P- 0.10*P = 414.00 factor out the P. can you do that ?
Sorry I am new on here I didn't know:( @ZeHanz
kk
My way of doing it would be: OK, I know that 90% is 414. So then I can easily calculate how much money 10% is. How? Once I'va got that, going back to 100% is easy.
  • phi
no, not 414.10 (414.10 down to 414 is 10 cents off. 10% is different)
SO to go from 90% to 10%, that is 9 times smaller, so divide 414 by 9. Result:46. Now multiply this $46 (which is 10%) by 10 to get the original amount.
@hutchy22: It's OK!
@phi: look ma, no formulas! ;)
Thanks so much.
You're welcome!
  • phi
an equation is just writing down on paper what you did.

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