Question

A surfboard is on sale for 60% off the sale price is $199.00. What was the original price of the surfboard before the sale?

Answer 1

A surfboard is on sale for 60%

sale price is $199.00

Let the original price be x then

we can write

$\\ \ x-\frac{60}{100}x=199\\ \\ \ \Rightarrow \frac{100x-60x}{100}=199\\ \\ \ \Rightarrow \frac{40x}{100}=199\\ \\ \ \Rightarrow 40x=199*100\\ \\ \ \Rightarrow x=\frac{19900}{40}=497.5$

Answer 2

If the sale is of 60% it means that it is being sold for:

100 - 60 = 40%

Now use the rule of three to find the answer:

40 - 199

100- x

(100 * 199) / 40 = x

19900 / 40 = x

497,5 = x

Answer:

$\boxed{\bf~The~original~price~is~497,5~dollars.}$

Hope it helped,

Happy homework/ study/ exam!