Percent/Proportion

Question

A suit is on sale for 34% off. The sale price is $627. What is the regular price?

Answer 1

I would solve it this way:

x = regular price

x - .34x = 627

x(1-.34) = 627

x = 627/(1-.34)

x = 950

The suit's regular price is $950

Answer 2

I like to use proportions for these types of questions. If you keep in mind the concept of "part over whole" you can easily set it up correctly. You also need to keep in mind that if there is a discount, you need to subtract it from 1 (if in decimal form) or 100 (if in percent form) to get the "part" that you are paying.

66/100 = 627/x

x = $950

MathMadeEZ

Answer 3

$950.00

Since the discount is 34% that means that the sale price is

(100 - 34) of the regular price or 66%

So the regular price is sale price/.66

Let R = Regular Price

627 is the Sale Price

Sale Price/Regular Price = Percent/100

627/R = 66/100

Cross Multiply to solve for R

627 = 66/100 *R

627 * 100/66 = R

R = 950

Checking

(950 - 627) * 100/(950) = 34% the discount.

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