Question

Kirby is buying a new grill that has been reduced for an end of summer sale by 25% to $496. what was the original price of the grill?

Answer 1

Given:

percentage decerease = 25%

current price of the grill = $496

Let the original price of the grill be x

We can calculate percentage decrease using the formula:

`\text{Percent decrease = }\frac{Orig\text{ inal value - new value}}{Orig\text{ inal value}}\text{ }*\text{ 100}`

Substituting the given values we have:

`\begin{gathered} 25\text{ = }(x-496)/(x)*\text{ 100} \\ 25\text{ = }((x-496)*100)/(x) \end{gathered}`

Cross-Multiply:

`\begin{gathered} 25x\text{ = 100x - 49600} \\ \text{Collect like terms:} \\ -75x\text{ = -49600} \\ \text{Divide both sides by -75} \\ (-75x)/(-75)\text{ = }(-49600)/(-75) \\ x\text{ }\approx\text{661.33} \end{gathered}`

Hence, we can conclude that the original price of the grill is approximately $661.33

Answer:

$661.33