Final answer:
The rate of discount for a pair of pants with an original cost of $75 and a sale price of $56.25 is 25%. This is calculated by finding the difference between the original and sale price and then determining what percentage that difference is of the original price.
Step-by-step explanation:
The question asks to find the rate of discount for a pair of pants. To do this, we need to calculate the difference in price between the original cost and the sale price, and then find out what percentage that difference is of the original price.
Original price of pants = $75.00
Sale price of pants = $56.25
First, calculate the amount of the discount:
Original price - Sale price = Discount amount
$75.00 - $56.25 = $18.75
Next, calculate the rate of discount as a percentage:
(Discount amount / Original price) x 100 = Rate of discount
($18.75 / $75.00) x 100 = 25%
Therefore, the rate of discount is 25%, making option A the correct answer.