The price of a television was reduced from $250 to $200. By what percentage was the price of the television reduced?

1 answer

To find the percentage reduction in the price of the television, you can use the formula for percentage change:

\[ \text{Percentage Reduction} = \left( \frac{\text{Original Price} - \text{Reduced Price}}{\text{Original Price}} \right) \times 100 \]

In this case, the original price is $250 and the reduced price is $200.

  1. Calculate the amount of reduction: \[ \text{Amount of Reduction} = 250 - 200 = 50 \]

  2. Now, plug the values into the formula: \[ \text{Percentage Reduction} = \left( \frac{50}{250} \right) \times 100 \]

  3. Calculate the fraction: \[ \frac{50}{250} = 0.2 \]

  4. Now multiply by 100 to get the percentage: \[ 0.2 \times 100 = 20% \]

So, the price of the television was reduced by 20%.