Discounts & sale prices

Separate the money saved from the money paid.

Separate the money saved from the money paid.

A discount is the amount removed

For a regular price P and discount d%, savings = P × d/100. Sale price = P − savings. An equivalent method is sale price = P × (1 − d/100). The multiplier represents the share of the original price you still pay.

Predict · change · explain

Separate saved from paid.

Predict first. Change one value, then explain what stays the same and what changes. All bars use the same scale within a model.

Read the coupon conditions

Check whether a coupon applies to one item, selected items, or the basket total. A $5 coupon removes a fixed dollar amount; a 5% coupon removes a share of the eligible price. Minimum purchases and limits affect which coupon is better. A price floor at zero means an unused discount is not automatically cash back.

Make an estimate and label your receipt

Record original price, savings and sale price separately. If the discount is 25%, you still pay 75%. Half off should halve a price; a small discount should not reduce it nearly to zero. Follow the stated rounding convention and keep each coupon step visible.

Follow the reasoning

Worked examples

A $72 item is 25% off

  1. Savings = 0.25 × 72 = $18.
  2. Sale price = 72 − 18 = $54.
  3. Check: 0.75 × 72 = $54.

Compare $6 off with 15% off a $32 item

  1. 15% × $32 = $4.80 saved; pay $27.20.
  2. $6 off gives a $26 sale price.
  3. The fixed coupon saves $1.20 more for this eligible item.

Guided Practice

A $45 item has 20% off. Find both the saving and sale price.

A first hint

You pay 80% of the original price.

Compare your reasoning

Savings = 0.20 × 45 = $9. Sale price = $36.

Practice

Fresh questions · useful feedback

Build fluency, one decision at a time.

Work through eight questions. Two independent correct answers introduce a harder version; supported answers bring the next question back to the foundation. You can use hints at any time.

0 of 8 questions completed

Enter a number, decimal or fraction such as 3/2. Leave out $, % and units. Keep intermediate values exact.

This round saves on this device. It is practice, not a school mark.

Connections

At what eligible price does a $6 coupon save the same amount as a 15% coupon? Explain which is better above and below that price.

Use it in Extreme Couponing

Record the whole, the percent multiplier and the result with units. For each coupon, use the eligible amount at that step. State whether a resale percentage means percent of cost or markup on cost.

Open the Extreme Couponing project guide →Videos & Explorations →

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