# T.V on sale for \$600 . the sale price is 20 % less than regular price. What was the regular price in dollars? Give answer to nearest one hundredth.

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

Given the current price of a TV = \$600

The current price is the price after 20% cut:

Then let us assume that x is the original price of the TV before reduction.

Then :

Current price = original price - reduction amount

==> 600 = x - (20% * x)

==> 600 = x - ( 20/100) x

==> 600 = x - ( 0.2) x

==> 600 = 0.8 x

Now divide by 0,8

==> x = 600/ 0.8 = 750

Then the original price of the TV before the reduction = \$ 750

neela | High School Teacher | (Level 3) Valedictorian

Posted on

The  sale price  of the TV = \$600.

It  is said the sale price is after a 20% less than the rgular price.

So the if the regular price  P , then after 20% reduction, the sale price  is P - P(20/100) = P- P/5 = 4P/5.

Therefore 4P/5  should be equal to \$600 sale price.

So 4P/5 = \$600.

Multiplying both sides of the equation by 5 , we get:

(4P/5)*5 = \$600*5.

4P = \$3000.

Divide both sides by 4:

4P/4 = \$3000/4

P = \$750.

Therefore the regular price of the TV = \$750.