An equation to set up this problem would be as follows with R being the regular price of the television:
Rx(.50)x(.75) = 260.00
This states that the regular price, reduced by 50% and then reduced by 25% ( 1- .25) = 260.00
Dividing both sides by (.50) and (.75) yields an answer of $693.33
and this rounded to the nearest dollar is $693