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

#1**0 **

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**+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