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?
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.
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
$$\\60+\frac{x}{100}*60=100\\\\
\frac{x}{100}*60=40\\\\
\frac{x}{100}=\frac{40}{60}\\\\
\frac{x}{100}=\frac{2}{3}\\\\
x=\frac{2}{3}\times 100\\\\
x=66\frac{2}{3}\\\\
$So the price would have to increase by $ 66\;\frac{2}{3} \;\%$$