Final answer:
The price difference of the same vehicle between today and the year 2000 is $6250. This is calculated by reversing the given fraction of price to find out today's cost of the vehicle and then by finding the difference between today's price and the price in year 2000.
Step-by-step explanation:
To find the present cost of the vehicle, we need to reverse the fraction, as we know that the price in 2000 was (4/5) of today's price. So, we need to find out what price today would make the vehicle cost (4/5) times less in 2000. This requires us to divide the 2000 cost by (4/5), or, same as multiplying by its reciprocal, which is (5/4). Therefore, the cost of the vehicle today is 25000 * (5/4) = $31250.
The difference in price between the vehicle's cost today and its cost in 2000 is $31250 - $25000 = $6250. So, the vehicle is about $6250 more expensive today than it was in 2000.
Learn more about Fraction Multiplication