$1,200 TV; 10% discount
Due to the ambiguity of this question, we will find the solution with the consideration of two likely situations:
1. Find the original price of the TV if it is now $1,200 after a 10% discount.
2. Find the discounted price of the TV if it is now $1,200 and a 10% discount is offered.
When the discount is given in percentage, it is important to change it into decimal form before performing any calculations. To do so, shift the decimal place two places to the left because a percentage is the same thing as the number divided by 100. So:
10% = `10/100 = .10`
If we let "x" equal the original price before the discount, the set up for the problem should be as follows.
`1200 = x-(x*0.10) = 0.90x.`
This means that when we take a 10% discount, only 90% of the original price is remaining; hence, the "0.90x." To solve, simply divide by 0.90 to both sides of the equation to find the value of "x," which is equal to $1333.33. The original price is $1333.33.
Following the same concepts and letting "x" now equal the price of the discounted price, the set up should be:
`x = 1200-(1200*0.10)` or `x = 1200*0.90`
Either equation should work. The first equation illustrates that we are subtracting 10% of the original price from the original price since we are given a $10 discount from the original price. The second equation illustrates that if we take a 10% discount, only 90% of the original price should remain. Either or, both equations should give us the same answer. Solving for "x," we find that the discounted price is $1080.