A table is on sale for 26% off. Sale price is $407. What is the regular price?

Need help with this please

550

The sale price is the retail price p, minus the discount.

p - .26p = 407
0.74p = 407
. . .

To find the regular price of the table, we can use the following steps:

Step 1: Determine the discount amount.
The sale price is given as $407, which represents 26% off the regular price. We need to find the discount amount.
Discount amount = 26% of regular price

Step 2: Calculate the regular price.
To find the regular price, we need to subtract the discount amount from the sale price.
Regular price = Sale price + Discount amount

Let's calculate the discount amount first using the given information.

Discount amount = 26% × Regular price
Discount amount = 0.26 × Regular price

Now, substitute the sale price and discount amount into the formula for the regular price.

Sale price + Discount amount = Regular price
$407 + 0.26 × Regular price = Regular price

Simplify the equation:

$407 = Regular price + 0.26 × Regular price
$407 = 1.26 × Regular price
Regular price = $407 / 1.26

Now we can calculate the regular price.

Regular price = $407 / 1.26
Regular price ≈ $322.22

Therefore, the regular price of the table is approximately $322.22.

To find the regular price of the table, we can use the formula:

Regular Price - (Regular Price * Discount Percentage) = Sale Price

Let's substitute the given values into the formula:

Regular Price - (Regular Price * 0.26) = $407

Next, we can simplify the equation by factoring out the Regular Price:

Regular Price * (1 - 0.26) = $407

Simplifying further:

Regular Price * 0.74 = $407

Now, to isolate the Regular Price, we divide both sides of the equation by 0.74:

Regular Price = $407 / 0.74

Using a calculator, the regular price is approximately $551.35.

Therefore, the regular price of the table is $551.35.