The original price is $1200.
The first step is to increase it by 50%. This can be done as:
NOTE: to do math with percentages it is better to convert them to decimals. For example, 50% is equal to 0.5 in decimal form. You can convert from percentage to decimal by dividing the percentage by 100.
Then, we reduce this price by 25% (or -0.25):
Answer: the final price is $1350.