The price of a printer was reduced from $400 to $160. What was the percent of decrease?
A. 40%
B. 150%
C. 60%
D. 65%
Answer (2)
Calculate the decrease in price: $Decrease = $400 - $160 = 240 .
Calculate the percent decrease: $Percent\ Decrease = \frac{$240}{ 400} \times 100 .
Simplify the fraction: $\frac{$240}{ 400} = 0.6 .
Multiply by 100 to get the percentage: 0.6 × 100 = 60% . The percent of decrease is 60% .
Explanation
Understanding the Problem We are asked to find the percent decrease in the price of a printer that was reduced from $400 to $160.
Calculating the Decrease First, we need to calculate the amount of the decrease in price. This is found by subtracting the reduced price from the original price: Decre a se = O r i g ina l P r i ce − R e d u ce d P r i ce Decrease = $400 - $160 = $240
Calculating the Percent Decrease Next, we calculate the percent decrease by dividing the amount of decrease by the original price and then multiplying by 100%: P erce n t Decre a se = O r i g ina l P r i ce Decre a se × 100 Percent\ Decrease = \frac{$240}{$400} \times 100 = 0.6 \times 100 = 60\%
Final Answer Therefore, the percent of decrease in the price of the printer is 60%.
Examples
Understanding percentage decreases is crucial in many real-life situations, such as calculating discounts while shopping. For example, if a store offers a 25% discount on an item originally priced at $80, you can calculate the savings by multiplying $80 by 25% (or 0.25), which equals $20. This means you would save $20 on the item, and the new price would be $60. Knowing how to calculate percentage decreases helps you make informed decisions and understand the true cost savings.
The percent decrease in the printer's price, reduced from $400 to $160, is 60%. Therefore, the answer is C. 60%.
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