Question 1141878
after a 10% increase in the price, the price of the television set is 286.


let x equal the price of the television set before the increase.


you get x + .10 * x = 286.


factor out the x to get x * (1 + .10) = 286.


simplify to get x * 1.10 = 286


divide both sides of this equation by 1.10 to get x = 286 / 1.10.


solve for x to get x = 260.


the price of the television set was 260 before the increase of 10%.


10% of 260 = 26.


this is added to the price of the television set to get the new price of 260 + 26 = 286.