Thread: Discount Equation Help

Use the discount equation S = R − rR,
where S is the sale price, R is the regular price, and r is the discount rate.
A battery with a discount price of $61 is on sale for 24% off the regular price. Find the regular price. Round to the nearest cent.

Not sure how to tackle this one, i'd appreciate it if someone can explain how to solve.

Forget the discount equation; use intuition.

24% off the regular price means you'll be paying 76% of the regular price. Therefore the sale price S is .

If you really wanted to use the given equation you would still obtain $46.36:

Hello, IDoNotLikeMath!

Use the discount equation: .
where is the sale price, is the regular price, and is the discount rate.

A battery with a discount price of $61 is on sale for 24% off the regular price.
Find the regular price. .Round to the nearest cent.

Not sure how to tackle this one.

We are given: .

Substitute into the discount equation: .

Now solve for


It's no wonder that you DoNotLikeMath . . .

Whoops, didn't see that $61 is the "discount price."

It's still pretty simple regardless. $61 is now 76% of the regular price, e.g. . Divide both sides by .76 to get