You are at the store and the price of your goods costs 100. You have t

You are at the store and the price of your goods costs 100 You have two coupons that you can use: Which coupon yields the better value? Pd = Price - Dollar off Pd = $100.00 - $30.00 Pd = $70.00 Discount Percentage = 0.15

You are at the store and the price of your goods costs 100. You have t MathCelebrity logo Image to Crop

You are at the store and the price of your goods costs 100

You have two coupons that you can use:

  • $30 off the price of your goods
  • 15 percent off the price of your goods

Which coupon yields the better value?

Calculate Dollar off Price denoted as Pd:

Pd = Price - Dollar off

Pd = $100.00 - $30.00

Pd = $70.00

Calculate Percentage off Price denoted as Pp:
Discount Percentage  =  15
  100

Discount Percentage = 0.15

Calculate Price Paid:

If the discount is x%, that means you pay for (1 - x)%

Pp = Price x (1 - Discount Percentage)

Pp = 100 x (1 - 0.15)

Pp = 100 x (0.85)

Pp = $85.00

Comparison Results:

In this case, the dollar discount of 30 is better than 15% off

Use the dollar coupon

Project the price where the percentage discount beats the dollar discount:

In other words, we need to know when 15% x Price ≥ 30

From above, 15% = 0.15

Divide each side of the equation by 0.15
0.15 x Price
0.15

Cancelling 0.15 from the left side of the equation to solve for price, we get:
Price  =  30
  0.15

Projected Price ≥ $200.00

You have 1 free calculations remaining


What is the Answer?

Projected Price ≥ $200.00

How does the Coupon Comparison Calculator work?

Free Coupon Comparison Calculator - Given a cost of goods, a dollar off coupon, and a percentage off coupon, this calculator will compare the two deals and determine which one is of more value. If the dollar coupon wins, the calculator will project the break even price where the dollar coupon would surpass the percentage coupon
This calculator has 3 inputs.

What 1 formula is used for the Coupon Comparison Calculator?

Discount Price = Price x (1 - Discount Percentage)

For more math formulas, check out our Formula Dossier

What 5 concepts are covered in the Coupon Comparison Calculator?

compareestimate, measure, or note the similarity or difference betweencouponthe annual interest rate paid on a bond, expressed as a percentage of the face value and paid from issue date until maturity.discountthe amount by which the market price of a bond is lower than its principal amount due at maturitydollarCurrency unitpercenta specified amount in or for every hundred. one part in every hundred.
n% = n/100

Example calculations for the Coupon Comparison Calculator

Coupon Comparison Calculator Video


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