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! 🖊️