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# At a store, they cut the price 40% for a particular item. By what percent must the item be increased if you wanted to sell it at the origina

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At a store, they cut the price 40% for a particular item. By what percent must the item be increased if you wanted to sell it at the original price?

Guest Mar 1, 2015

#4
+92673
+5

Here's one more way.....for argument's sake let the original price be $100. Then, the new price is just$60

So to find the percent increase to raise this back to the original price we have

[100- 60]/60 x 100%  = 40/60 x 100%  = 2/3 x 100%  = about [66 + 2/3] %

CPhill  Mar 1, 2015
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You must multiply the original price with the 40%. After that, you add the orginal price with the answer you got after multiplying the original price with 40%.

If this wasn't the answer you were looking for... I don't know what to tell you.

Guest Mar 1, 2015
#2
+94105
+5

lets work through this one - it is a good question.    Don't worry anon, this was a very tricky question.

Let the original price be $100. It makes no difference what you choose for the original price but most people with find it easier if you choose an easy number rather than a letter. alright we reduce this by 40% so the new price will be 100 - 40% of 100 =$60

so the question becomes   (where x% is the price increase)

60 + x% of 60 = $100 $$\\60+\frac{x}{100}*60=100\\\\ \frac{x}{100}*60=40\\\\ \frac{x}{100}=\frac{40}{60}\\\\ \frac{x}{100}=\frac{2}{3}\\\\ x=\frac{2}{3}\times 100\\\\ x=66\frac{2}{3}\\\\ So the price would have to increase by 66\;\frac{2}{3} \;\%$$ Melody Mar 1, 2015 #3 +94105 +5 Actually I turned this into a much harder looking question than necessary. again let the original price by$100

40% discount brings he price down to $60 now we need to add the$40 back on.

What percent of $60 is$40 ?

$$\frac{40}{60}\times 100=\;66\frac{2}{3}\%$$

Melody  Mar 1, 2015
#4
+92673
+5

Here's one more way.....for argument's sake let the original price be $100. Then, the new price is just$60

So to find the percent increase to raise this back to the original price we have

[100- 60]/60 x 100%  = 40/60 x 100%  = 2/3 x 100%  = about [66 + 2/3] %

CPhill  Mar 1, 2015