The price of a fan increased by 25% to $48.75. Find the original price of the fan.
This is how I did it.
100/25%=400.
48.75-4.00= 44.25.
I'm not sure if I'm solving it the correct way can someone help please
not quite....
let the original price be x
1.25x = 48.75
x = 48.75/1.25 = $39.00
check:
25% of 39 = 9.75
new price =39+ 9.75 = 48.75
To find the original price of the fan, you can use the concept of reverse percentage calculations. Here's how you can correctly solve the problem:
1. Start by converting the percentage increase to a decimal. In this case, the price increased by 25%, so divide 25 by 100 to get 0.25.
2. Next, let's define the original price of the fan as "P." Since the price increased by 25%, the new price is equal to the original price plus the increase: P + 0.25P.
3. The new price of the fan is given as $48.75. Therefore, we can set up an equation: P + 0.25P = 48.75.
4. Simplify the equation by combining like terms: 1.25P = 48.75.
5. To isolate P, divide both sides of the equation by 1.25: P = 48.75 / 1.25.
6. Evaluate the right side of the equation on a calculator to find that P is equal to $39.
Therefore, the original price of the fan was $39.