Question

Miss Smith needed a new pair of gym shoes. The original cost of the shoes was $120.00, but she was lucky and they were on sale for $69.98. Calculate the percent change for her shoes (round to the nearest percent).

A. 73%
B. 70%
C. 50%
D. 42%

Answer 1

Miss Smith experienced a price decrease of $50.02 for gym shoes, originally priced at $120.00. Calculating the percent change as ($50.02/$120.00) × 100 gives approximately 41.6833%, which when rounded is 42%, making D the correct answer.

Step-by-step explanation:

The subject of the question is mathematics, specifically concerned with finding the percent change in the price of an item. Miss Smith found that the gym shoes she wanted to purchase, originally priced at $120.00, were on sale for $69.98. To calculate the percent change, we need to determine the amount of decrease and then divide it by the original price.

To calculate the decrease in price:

Original price - Sale price = Decrease in price
$120.00 - $69.98 = $50.02

Now let's calculate the percent change using the formula:

(Decrease in price / Original price) × 100 = Percent change
($50.02 / $120.00) × 100 = 41.6833%

Rounded to the nearest percent, the percent change is approximately 42%, which corresponds to answer choice D.