Question

The price of an article was cut 20% for a sale. by what percent must the item be increased to again sell the article at the original price?

Answer 1

In order to achieve its original price, the item's price must be increased for: 25%

Let's assume that x = original price (100 %)

after the first cut,
x - 0.2 = 0.8x

now, we need to return it into x, technically we need to add it with 0.2 x again, but since the percentage now is taken from 0.8x, the calculation will be:

0.2x / 0.8x = 1/4 = 0.25 = 25%

Answer 2

The percent at which the item be increased to again sell the article at the original price is 25%.

Computation of percentage increase in the price

Assume the original price be 100 %

The price was cut by 20%,

$\begin{aligned}\rm{New \;Price}& = 100\% - 20\% \\&= 80\%\end{aligned}$

$\begin{aligned}\text{Increased Percentage}& = \frac{\text{Price of the Article}}{\text{Original Price of the Article}}\times 100\\\text{Increased Percentage} &= \frac{20}{80} \times100\\\text{Increased Percentage} &= 25\%\end{aligned}$

To know more about the percentage price at which the article can be sold, refer to the link below:

https://brainly.com/question/731526