Question

The original price of a television is $400, and the discount is 25%. Round your answer to the nearest 10th of a percent. State if it is an increase or decrease.

a) 22.2%, Increase
b) 22.2%, Decrease
c) 30%, Increase
d) 30%, Decrease

Answer 1

The discount on the television results in a 25% decrease from the original price, not 22.2%. The correct answer choice would simply be 25%, Decrease.

Step-by-step explanation:

The question is asking to calculate the percentage decrease in price of a television after a 25% discount is applied to its original price of $400. To find the discount amount, multiply the original price by the discount percentage in decimal form, which in this case is 0.25 (25%): $400 x 0.25 = $100. This discount is subtracted from the original price to get the sale price: $400 - $100 = $300. Since the question asks for the change in percentage, it is unnecessary to calculate the final sale price here. Instead, we note that a reduction from the original price represents a decrease, not an increase.

The correct choice is (b) 22.2%, Decrease, which is misleading as the actual percentage decrease is exactly 25%. The answer provided in the student's question choices appears to be incorrect, as the precise calculation for the discount gives a 25% decrease, not 22.2%.