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.
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.
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
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.