a car originally costs $20,000. its price went up by 20% and then by another $8,000. how much did the price go up as a percentage of the original price?

Let's break down the problem step-by-step.

1. Original price of the car = $20,000
2. Price went up by 2% first:
   • 2% of $20,000 = 0.02 × 20,000 = $400
3. Price then went up by another $8,000.

Total increase in price = $400 + $8,000 = $8,400 Now, to find the total percent increase relative to the original price:

Percentage increase=(8,40020,000)×100=42%\text{Percentage increase}=\left(\frac{8,400}{20,000}\right)\times 100=42%Percentage increase=(20,0008,400​)×100=42%

Answer: The price went up by 42% of the original price.