at a sale this week, a sofa is being sold for $513. This is a 24% discount from the original price. What is the original price?

Answer 1

The formula for calculating the discounted price of an items is:

s = p − ( p • d )

s: Discounted price of the sofa

p: Regular price

d: Discount rate or the sale percentage

s= $513

p= ?

d= 24% or 24/100

513 = p – ( p • 24/100)

513 = p – 24p / 100

513 = ( 100/100 • p ) – 24p / 100

513 = ( 100p / 100 ) – ( 24p / 100 )

513 = p ( 100 – 24 ) / 100

513 = 76p / 100

( 100 / 76 ) • 513 = ( 100 / 76 ) • ( 76p / 100 )

51300 / 76 = p

675 = p

The original price of the sofa is $ 675