Sale prices: find the original price

Key notes:

The sale price is equal to the percent paid times the original price.

sale price = percent paid original price

Learn with an example

▶️ During the sale, Paige pays ₹88 for a mattress. What was the original price?

₹_____

Find the percent paid:

To find the percent paid, subtract the percent off from 100%.

percent paid = 100% – percent off

= 100% – 90%

= 10%

With 90% off, the percent paid is 10%.

Write an equation to solve for the original price:

Since 10% of the original price is equal to the sale price of ₹88, you can set up and solve an equation. Let p represent the original price.

10% . p = 88

10 / 100 . p = 88 Write the percent as a fraction

0.1 . p = 88 Write the fraction as a decimal

0.1p / 0.1 = 88 / 0.1 Divide both sides by 0.1

p = 880 Simplify

The original price was ₹880.

▶️ Logan buys a robot during the sale. If Logan pays ₹495, what was the original price?

₹______

Find the percent paid:

To find the percent paid, subtract the percent off from 100%.

percent paid = 100%–percent off

= 100% – 25%

= 75%

With 25% off, the percent paid is 75%.

Write an equation to solve for the original price:

Since 75% of the original price is equal to the sale price of ₹495, you can set up and solve an equation. Let p represent the original price.

75% . p = 495

75 / 100 . p = 495 Write the percent as a fraction

0.75 . p= 495 Write the fraction as a decimal

0.75p / 0.75 = 495 / 0.75 Divide both sides by 0.75

p = 660 Simplify

The original price was ₹660.

▶️ If a trampoline has a sale price of ₹30, what was the original price?

₹______

Find the percent paid:

To find the percent paid, subtract the percent off from 100%.

percent paid = 100% – percent off

= 100% – 50%

= 50%

With 50% off, the percent paid is 50%.

Write an equation to solve for the original price:

Since 50% of the original price is equal to the sale price of ₹30, you can set up and solve an equation. Let p represent the original price.

50% . p = 30

50 / 100 . p = 30 Write the percent as a fraction

0.5 . p = 30 Write the fraction as a decimal

0.5p / 0.5 = 30 / 0.5 Divide both sides by 0.5

p = 60 Simplify

The original price was ₹60.

Let’s practice! 🖊️